Banach November 2010

banach@mathdept.okstate.edu

2 participants
16 discussions

INFORMAL ANALYSIS SEMINAR DEDICATED TO THE WORK OF JOE DIESTEL (March 20-21, 2010)
by Artem Zvavitch 20 Aug '16

20 Aug '16

Dear Friends, On Saturday - Sunday, March 20-21, 2010, (best arrival date Friday, March 19/ Departure Monday, March 22) the Department of Mathematical Sciences at Kent State University will be famous but still very informal. We are happy to announce an: INFORMAL ANALYSIS SEMINAR DEDICATED TO THE WORK OF JOE DIESTEL The following people are among speakers: Peter Casazza, Hans Jarchow, Alexander Koldobsky, Pepe Orihuela, Olek Pelczynski, Thomas Schlumprecht, Lutz Weis. It would be great if you could visit Kent State and participate in the seminar! The conference will have a registration fee of $200 WHICH INCLUDES: pick up/drop off from the airport, THREE DAY STAY in the Microtel hotel at Streetsboro, Saturday/Sunday lunches/dinners to be provided at the department. If you plan to stay fewer than 3 nights or prefer to make your own accommodation arrangements, please reduce your registration fee by $45 per day that you will not use our hotel arrangements. If possible, please send a check for your registration fee, made out to the Department of Mathematical Sciences, Kent State University. The check should be mailed to Virginia Wright, Department of Mathematical Sciences, Kent State University, Kent, OH, 44242. The fee can be also be paid during the registration (check/cash). The conference is supported by NSF; The Department of Mathematical Sciences and Kent State University. Depending on funds availability the fee may be waived for young researchers and people without available funding. Please, write as soon as possible to zvavitch(a)math.kent.edu May we ask you to respond as soon as February 19 (zvavitch(a)math.kent.edu), so that we can gauge the need for housing, lecture room(s), etc. Best Regards, Analysis group at Kent State!

1 1

Abstract of a paper by Miguel Martin, Javier Meri and Mikhail Popov
by alspach＠math.okstate.edu 23 Nov '10

23 Nov '10

This is an announcement for the paper "On the numerical radius of operators in Lebesgue spaces" by Miguel Martin, Javier Meri and Mikhail Popov. Abstract: We show that the absolute numerical index of the space $L_p(\mu)$ is $p^{-\frac{1}{p}} q^{-\frac{1}{q}}$ (where $1/p+1/q=1$). In other words, we prove that $$ \sup\left\{\int |x|^{p-1}|Tx|\, d\mu \, : \ x\in L_p(\mu),\,\|x\|_p=1\right\} \,\geq \,p^{-\frac{1}{p}} q^{-\frac{1}{q}}\,\|T\| $$ for every $T\in \mathcal{L}(L_p(\mu))$ and that this inequality is the best possible when the dimension of $L_p(\mu)$ is greater than one. We also give lower bounds for the best constant of equivalence between the numerical radius and the operator norm in $L_p(\mu)$ for atomless $\mu$ when restricting to rank-one operators or narrow operators. Archive classification: math.FA Mathematics Subject Classification: 46B04, 46B20, 47A12 Remarks: 14 pages Submitted from: mmartins(a)ugr.es The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1011.4785 or http://arXiv.org/abs/1011.4785

1 0

Abstract of a paper by Matthew Tarbard
by alspach＠math.okstate.edu 23 Nov '10

23 Nov '10

This is an announcement for the paper "Hereditarily indecomposable, separable L_\infty spaces with \ell_1 dual having few operators, but not very few operators" by Matthew Tarbard. Abstract: Given a natural number $k \geq 2$, we construct a hereditarily indecomposable, $\mathscr{L}_{\infty}$ space, $X_k$ with dual isomorphic to $\ell_1$. We exhibit a non-compact, strictly singular operator $S$ on $X_k$, with the property that $S^k = 0$ and $S^j (0 \leq j \leq k-1)$ is not a compact perturbation of any linear combination of $S^l, l \neq j$. Moreover, every bounded linear operator on this space has the form $\sum_{i=0}^{k-1} \lambda_i S^i +K$ where the $\lambda_i$ are scalars and $K$ is compact. In particular, this construction answers a question of Argyros and Haydon ( "A hereditarily indecomposable space that solves the scalar-plus-compact problem"). Archive classification: math.FA Submitted from: matthew.tarbard(a)sjc.ox.ac.uk The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1011.4776 or http://arXiv.org/abs/1011.4776

1 0

Abstract of a paper by D. Azagra, R. Fry and L. Keener
by alspach＠math.okstate.edu 23 Nov '10

23 Nov '10

This is an announcement for the paper "Approximation of functions and their derivatives by analytic maps on certain Banach spaces" by D. Azagra, R. Fry and L. Keener. Abstract: Let X be a separable Banach space which admits a separating polynomial; in particular X a separable Hilbert space. Let f:X→R be bounded, Lipschitz, and C¹ with uniformly continuous derivative. Then for each {\epsilon}>0, there exists an analytic function g:X→R with |g-f|<{\epsilon} and ‖g′-f′‖<{\epsilon}. Archive classification: math.FA Remarks: 17 pages Submitted from: rfry(a)tru.ca The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1011.4613 or http://arXiv.org/abs/1011.4613

1 0

Abstract of a paper by Dale E. Alspach and Eloi Medina Galego
by alspach＠math.okstate.edu 23 Nov '10

23 Nov '10

This is an announcement for the paper "Geometry of the Banach spaces C(beta mathbb N times K, l_p) for compact metric spaces K" by Dale E. Alspach and Eloi Medina Galego . Abstract: In this paper we provide the complete isomorphic classification of the spaces C(beta mathbb N times K, l_p) of all continuous l_p-valued functions, 1 <= p < infinity, defined on the topological product of the Stone-Cech compactification of the natural numbers mathbb N and an arbitrary infinite compact metric space K. In order to do this, we first prove that c_0 is the only infinite dimensional separable C(K) space, Z, up to an isomorphism, which satisfies each one of the following statements: (1) Z is a quotient of C(beta mathbb N, l_p) for every 1< p< infinity. (2) Z is isomorphic to a complemented subspace of C(beta mathbb N, l_1). (3) C(beta mathbb N, l_p) is isomorphic to the injective tensor product of itself and Z, for every 1 <= p < infinity. Archive classification: math.FA Mathematics Subject Classification: 46B Remarks: 17 pages Submitted from: alspach(a)math.okstate.edu The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1011.3261 or http://arXiv.org/abs/1011.3261

1 0

Abstract of a paper by Jan-David Hardtke
by alspach＠math.okstate.edu 23 Nov '10

23 Nov '10

This is an announcement for the paper "Some remarks on stronger versions of the Boundary Problem for Banach spaces" by Jan-David Hardtke. Abstract: Let $X$ be a real Banach space. A subset $B$ of the dual unit sphere of $X$ is said to be a boundary for $X$, if every element of $X$ attains its norm on some functional in $B$. The well-known Boundary Problem originally posed by Godefroy asks whether a bounded subset of $X$ which is compact in the topology of pointwise convergence on $B$ is already weakly compact. This problem was recently solved by H.Pfitzner in the positive. In this note we collect some stronger versions of the solution to the Boundary Problem, most of which are restricted to special types of Banach spaces. We shall use the results and techniques of Pfitzner, Cascales et al., Moors and others. Archive classification: math.FA Mathematics Subject Classification: 46A50, 46B50 Remarks: 14 pages Submitted from: hardtke(a)math.fu-berlin.de The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1011.2372 or http://arXiv.org/abs/1011.2372

1 0

Abstract of a paper by Jan-David Hardtke
by alspach＠math.okstate.edu 23 Nov '10

23 Nov '10

This is an announcement for the paper "Rainwater-Simons-type convergence theorems for generalized convergence methods" by Jan-David Hardtke. Abstract: We extend the well-known Rainwater-Simons convergence theorem to various generalized convergence methods such as strong matrix summability, statistical convergence and almost convergence. In fact we prove these theorems not only for boundaries but for the more general notion of (I)-generating sets introduced by Fonf and Lindenstrauss. Archive classification: math.FA Mathematics Subject Classification: 46B20, 40C05, 40C99 Remarks: 11 pages Submitted from: hardtke(a)math.fu-berlin.de The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1011.2365 or http://arXiv.org/abs/1011.2365

1 0

Abstract of a paper by Joseph Lehec
by alspach＠math.okstate.edu 23 Nov '10

23 Nov '10

This is an announcement for the paper "The symmetric property tau for the Gaussian measure" by Joseph Lehec. Abstract: We give a proof based on the Poincar\'e inequality of the symmetric property tau for the Gaussian measure. This property turns out to be equivalent to a certain functional form of the Blaschke-Santal\'o inequality, as explained in a paper by Artstein, Klartag and Milman. Archive classification: math.FA Mathematics Subject Classification: 60D05 (28A75 52A39 52A40) Citation: Ann. Fac. Sci. Toulouse Math. (6) 17 (2008), no. 2, 357–370 Remarks: 10 pages, file might be slightly different from the published version Submitted from: lehec(a)ceremade.dauphine.fr The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1011.2142 or http://arXiv.org/abs/1011.2142

1 0

Abstract of a paper by Joseph Lehec
by alspach＠math.okstate.edu 23 Nov '10

23 Nov '10

This is an announcement for the paper "On the Yao-Yao partition theorem" by Joseph Lehec. Abstract: The Yao-Yao partition theorem states that given a probability measure on an affine space of dimension n having a density which is continuous and bounded away from 0, it is possible to partition the space into 2^n regions of equal measure in such a way that every affine hyperplane avoids at least one of the regions. We give a constructive proof of this result and extend it to slightly more general measures. Archive classification: math.FA math.CO Mathematics Subject Classification: 52C99 Citation: Arch. Math. 92 (4) (2009) 366-376 Remarks: 10 pages, file might be slightly different from the published version Submitted from: lehec(a)ceremade.dauphine.fr The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1011.2123 or http://arXiv.org/abs/1011.2123

1 0

Abstract of a paper by Joseph Lehec
by alspach＠math.okstate.edu 23 Nov '10

23 Nov '10

This is an announcement for the paper "A direct proof of the functional Santalo inequality" by Joseph Lehec. Abstract: We give a simple proof of a functional version of the Blaschke-Santalo inequality due to Artstein, Klartag and Milman. The proof is by induction on the dimension and does not use the Blaschke-Santalo inequality. Archive classification: math.FA Mathematics Subject Classification: 26D15 (52A40) Citation: C. R. Math. Acad. Sci. Paris 347 (2009), no. 1-2, 55–58 Remarks: 4 pages, file might be slighlty diferent from the published version Submitted from: lehec(a)ceremade.dauphine.fr The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1011.2140 or http://arXiv.org/abs/1011.2140

1 0

2024

2023

2022

2021

2020

2019

2018

2017

2016

2015

2014

2013

2012

2011

2010

2009

2008

2007

2006

2005

2004

Banach November 2010