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Conference on Operators and Operator Algebras in Edinburgh, December 8-11, 2009 - first announcement
by Sandra Pott 15 May '09

15 May '09

OPERATORS AND OPERATOR ALGEBRAS IN EDINBURGH: 8th -- 11th DECEMBER 2009 There will be an international conference on Operators and Operator Algebras in the University of Edinburgh this coming December. The Honorary Organisers are Alastair Gillespie and Allan Sinclair. The following have agreed to speak: * C. Anantharaman-Delaroche (Orleans) * W. Arendt (Ulm) * E. Berkson (Illinois Champaign-Urbana) * O. Blasco (Valencia) * G. Brown (Royal Institution of Australia) * M-J. Carro (Universitat de Barcelona) * E. Christensen (Copenhagen) * M. Cowling (Birmingham) * A. M. Davie (Edinburgh) * U. Haagerup (Odense) * M. Junge (Illinois Champaign-Urbana) * N. Kalton (Columbia, Missouri) * N. Ozawa (Tokyo and UCLA) * J. Parcet (CSIC & UA Madrid) * J. Peterson (Vanderbilt) * G. Pisier (Texas A&M and Paris VI) * W. Ricker (KU Eichstaett) * R. Smith (Texas A&M) * J-L. Torrea (UA Madrid) * S. Vaes (KU Leuven) * A. Volberg (Michigan State) * S. White (Glasgow) The conference will run from 9.00 on Tuesday 8 December 2009 until lunchtime on Friday 11 December 2009. CONFERENCE WEBSITE: Please go to http://www.maths.gla.ac.uk/~saw/ooae/ and bookmark it to keep up-to-date with developments. REGISTRATION AND ACCOMODATION: please go to the conference website and follow the links from there. REGISTRATION FEE: in the region of £ 35 (waived for speakers and postdgraduate students) rising to £ 50 after 1 November 2009. Full details will be announced in due course. CONFERENCE DINNER: Thursday 10th December. The cost will be in the region of £ 30. Early sign-up is recommended as spaces are on a first-come first-served basis. POSTGRADUATE STUDENTS: Limited support is available for UK-based postgraduate students. If you wish to be considered for such support, please declare this when you register. Unfortunately there will be no space in the schedule for talks other than by invited speakers, and we do not expect to be able to financially support participation (other than for speakers and postgraduate students). If you have any questions please contact Stuart White on s.white(a)maths.gla.ac.uk Please pass this announcement on to anyone you think might be interested. The Organising Committee (Tony Carbery, Ian Doust, Sandra Pott, Stuart White and Jim Wright)

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Abstract of a paper by G. Botelho, D. Pellegrino and P. Rueda
by alspach＠fourier.math.okstate.edu 15 May '09

15 May '09

This is an announcement for the paper "Dominated bilinear forms and 2-homogeneous polynomials" by G. Botelho, D. Pellegrino and P. Rueda. Abstract: The main goal of this note is to establish a connection between the cotype of the Banach space X and the parameters r for which every 2-homogeneous polynomial on X is r-dominated. Archive classification: math.FA Mathematics Subject Classification: 46G25, 46B20 Remarks: 7 pages The source file(s), Botelho_Pellegrino_Rueda.tex: 24623 bytes, is(are) stored in gzipped form as 0905.2079.gz with size 8kb. The corresponding postcript file has gzipped size 82kb. Submitted from: dmpellegrino(a)gmail.com The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/0905.2079 or http://arXiv.org/abs/0905.2079 or by email in unzipped form by transmitting an empty message with subject line uget 0905.2079 or in gzipped form by using subject line get 0905.2079 to: math(a)arXiv.org.

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Abstract of a paper by Evans Harrell and Antoine Henrot
by alspach＠fourier.math.okstate.edu 15 May '09

15 May '09

This is an announcement for the paper "On the maximization of a class of functionals on convex regions, and the characterization of the farthest convex set" by Evans Harrell and Antoine Henrot. Abstract: We consider a family of functionals $J$ to be maximized over the planar convex sets $K$ for which the perimeter and Steiner point have been fixed. Assuming that $J$ is the integral of a quadratic expression in the support function $h$, we show that the maximizer is always either a triangle or a line segment (which can be considered as a collapsed triangle). Among the concrete consequences of the main theorem is the fact that, given any convex body $K_1$ of finite perimeter, the set in the class we consider that is farthest away in the sense of the $L^2$ distance is always a line segment. We also prove the same property for the Hausdorff distance. Archive classification: math.OC math.FA Mathematics Subject Classification: 52A10; 52A40; Remarks: 3 figures The source file(s), HarHen1_FINALMay09.tex: 46618 bytes figure1.eps: 14493 bytes figure3.eps: 9670 bytes noyau3.eps: 10101 bytes, is(are) stored in gzipped form as 0905.1464.tar.gz with size 21kb. The corresponding postcript file has gzipped size 118kb. Submitted from: harrell(a)math.gatech.edu The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/0905.1464 or http://arXiv.org/abs/0905.1464 or by email in unzipped form by transmitting an empty message with subject line uget 0905.1464 or in gzipped form by using subject line get 0905.1464 to: math(a)arXiv.org.

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Abstract of a paper by Osamu Hatori
by alspach＠fourier.math.okstate.edu 15 May '09

15 May '09

This is an announcement for the paper "A local Mazur-Ulam theorem" by Osamu Hatori. Abstract: We prove a local version of the Mazur-Ulam theorem. Archive classification: math.FA Mathematics Subject Classification: 46B04 Remarks: 8pages The source file(s), lmu09_05_05.tex: 23889 bytes, is(are) stored in gzipped form as 0905.1050.gz with size 7kb. The corresponding postcript file has gzipped size 66kb. Submitted from: hatori(a)math.sc.niigata-u.ac.jp The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/0905.1050 or http://arXiv.org/abs/0905.1050 or by email in unzipped form by transmitting an empty message with subject line uget 0905.1050 or in gzipped form by using subject line get 0905.1050 to: math(a)arXiv.org.

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Abstract of a paper by Fedor Nazarov, Fedor Petrov, Dmitry Ryabogin, and Artem Zvavitch
by alspach＠fourier.math.okstate.edu 15 May '09

15 May '09

This is an announcement for the paper "A remark on the Mahler conjecture: local minimality of the unit cube" by Fedor Nazarov, Fedor Petrov, Dmitry Ryabogin, and Artem Zvavitch. Abstract: We prove that the unit cube $B^n_{\infty}$ is a strict local minimizer for the Mahler volume product $vol_n(K)vol_n(K^*)$ in the class of origin symmetric convex bodies endowed with the Banach-Mazur distance. Archive classification: math.FA Mathematics Subject Classification: 52A15, 52A21 The source file(s), MahlerNPRZ_May_3.tex: 26147 bytes, is(are) stored in gzipped form as 0905.0867.gz with size 9kb. The corresponding postcript file has gzipped size 89kb. Submitted from: zvavitch(a)math.kent.edu The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/0905.0867 or http://arXiv.org/abs/0905.0867 or by email in unzipped form by transmitting an empty message with subject line uget 0905.0867 or in gzipped form by using subject line get 0905.0867 to: math(a)arXiv.org.

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Abstract of a paper by Jarno Talponen
by alspach＠fourier.math.okstate.edu 15 May '09

15 May '09

This is an announcement for the paper "Constructions of sequential spaces" by Jarno Talponen. Abstract: We introduce and study certain type of variable exponent \ell^p spaces. These spaces will typically not be rearrangement-invariant but instead they enjoy a good local control of some geometric properties. We obtain some interesting examples of Banach spaces with a 1-unconditional basis. Archive classification: math.FA Mathematics Subject Classification: 46B45; 46B20 The source file(s), lpt.tex: 33888 bytes, is(are) stored in gzipped form as 0905.0812.gz with size 10kb. The corresponding postcript file has gzipped size 78kb. Submitted from: talponen(a)cc.helsinki.fi The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/0905.0812 or http://arXiv.org/abs/0905.0812 or by email in unzipped form by transmitting an empty message with subject line uget 0905.0812 or in gzipped form by using subject line get 0905.0812 to: math(a)arXiv.org.

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Abstract of a paper by Peter G. Casazza Goetz E. Pfander
by alspach＠fourier.math.okstate.edu 15 May '09

15 May '09

This is an announcement for the paper "The infinite dimensional restricted invertibility theorem" by Peter G. Casazza and Goetz E. Pfander. Abstract: The 1987 Bourgain-Tzafriri Restricted Invertibility Theorem is one of the most celebrated theorems in analysis. At the time of their work, the authors raised the question of a possible infinite dimensional version of the theorem. In this paper, we will give a quite general definition of restricted invertibility for operators on infinite dimensional Hilbert spaces based on the notion of "density" from frame theory. We then prove that localized Bessel systems have large subsets which are Riesz basic sequences. As a consequence, we prove the strongest possible form of the infinite dimensional restricted invertibility theorem for $\ell_1$-localized operators and for Gabor frames with generating function in the Feichtinger Algebra. For our calculations, we introduce a new notion of "density" which has serious advantages over the standard form because it is independent of index maps - and hence has much broader application. We then show that in the setting of the restricted invertibility theorem, this new density becomes equivalent to the standard density. Archive classification: math.FA math.CA Mathematics Subject Classification: 42C15, 46C05, 46C07 Remarks: 24 pages The source file(s), PaperArxiv.tex: 85007 bytes, is(are) stored in gzipped form as 0905.0656.gz with size 24kb. The corresponding postcript file has gzipped size 143kb. Submitted from: g.pfander(a)jacobs-university.de The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/0905.0656 or http://arXiv.org/abs/0905.0656 or by email in unzipped form by transmitting an empty message with subject line uget 0905.0656 or in gzipped form by using subject line get 0905.0656 to: math(a)arXiv.org.

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Abstract of a paper by Assaf Naor and Yuval Peres
by alspach＠fourier.math.okstate.edu 15 May '09

15 May '09

This is an announcement for the paper "$L_p$ compression, traveling salesmen, and stable walks" by Assaf Naor and Yuval Peres. Abstract: We show that if $H$ is a group of polynomial growth whose growth rate is at least quadratic then the $L_p$ compression of the wreath product $\Z\bwr H$ equals $\max{\frac{1}{p},{1/2}}$. We also show that the $L_p$ compression of $\Z\bwr \Z$ equals $\max{\frac{p}{2p-1},\frac23}$ and the $L_p$ compression of $(\Z\bwr\Z)_0$ (the zero section of $\Z\bwr \Z$, equipped with the metric induced from $\Z\bwr \Z$) equals $\max{\frac{p+1}{2p},\frac34}$. The fact that the Hilbert compression exponent of $\Z\bwr\Z$ equals $\frac23$ while the Hilbert compression exponent of $(\Z\bwr\Z)_0$ equals $\frac34$ is used to show that there exists a Lipschitz function $f:(\Z\bwr\Z)_0\to L_2$ which cannot be extended to a Lipschitz function defined on all of $\Z\bwr \Z$. Archive classification: math.MG math.FA math.GR The source file(s), , is(are) stored in gzipped form as with size . The corresponding postcript file has gzipped size . Submitted from: naor(a)cims.nyu.edu The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/0904.4728 or http://arXiv.org/abs/0904.4728 or by email in unzipped form by transmitting an empty message with subject line uget 0904.4728 or in gzipped form by using subject line get 0904.4728 to: math(a)arXiv.org.

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Abstract of a paper by Alexandre Godard
by alspach＠fourier.math.okstate.edu 01 May '09

01 May '09

This is an announcement for the paper "Tree metrics and their Lipschitz-free spaces" by Alexandre Godard. Abstract: We compute the Lipschitz-free spaces of subsets of the real line and characterize subsets of metric trees by the fact that their Lipschitz-free space is isometric to a subspace of $L_1$. Archive classification: math.FA math.MG Mathematics Subject Classification: Primary 46B04; Secondary 05C05, 46B25, 54E35 Remarks: 9 pages The source file(s), lip.bbl: 1919 bytes The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/0904.3178 or http://arXiv.org/abs/0904.3178 or by email in unzipped form by transmitting an empty message with subject line uget 0904.3178 or in gzipped form by using subject line get 0904.3178 to: math(a)arXiv.org.

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Abstract of a paper by Detelin Dosev and William B. Johnson
by alspach＠fourier.math.okstate.edu 01 May '09

01 May '09

This is an announcement for the paper "Commutators on $\ell_{\infty}$" by Detelin Dosev and William B. Johnson. Abstract: The operators on $\ell_{\infty}$ which are commutators are those not of the form $\lambda I + S$ with $\lambda\neq 0$ and $S$ strictly singular. Archive classification: math.FA Mathematics Subject Classification: 47B47 Remarks: 15 pages. Submitted to the Journal of Functional Analysis The source file(s), EllInfinityPaper_Final.tex: 55359 bytes, is(are) stored in gzipped form as 0904.3120.gz with size 16kb. The corresponding postcript file has gzipped size 103kb. Submitted from: ddosev(a)gmail.com The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/0904.3120 or http://arXiv.org/abs/0904.3120 or by email in unzipped form by transmitting an empty message with subject line uget 0904.3120 or in gzipped form by using subject line get 0904.3120 to: math(a)arXiv.org.

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