Banach November 2006

banach@mathdept.okstate.edu

2 participants
7 discussions

Abstract of a paper by Morten Nielsen
by Dale Alspach 30 Nov '06

30 Nov '06

This is an announcement for the paper "Trigonometric quasi-greedy bases for $L^p(\bT;w)$" by Morten Nielsen. Abstract: We give a complete characterization of $2\pi$-periodic weights $w$ for which the usual trigonometric system forms a quasi-greedy basis for $L^p(\bT;w)$, i.e., bases for which simple thresholding approximants converge in norm. The characterization implies that this can happen only for $p=2$ and whenever the system forms a quasi-greedy basis, the basis must actually be a Riesz basis. Archive classification: Functional Analysis Mathematics Subject Classification: 42C15 Remarks: 8 pages The source file(s), trig_quasi_greedy.tex: 23971 bytes, is(are) stored in gzipped form as 0611892.gz with size 8kb. The corresponding postcript file has gzipped size 98kb. Submitted from: mnielsen(a)math.wustl.edu The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0611892 or http://arXiv.org/abs/math.FA/0611892 or by email in unzipped form by transmitting an empty message with subject line uget 0611892 or in gzipped form by using subject line get 0611892 to: math(a)arXiv.org.

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Abstract of a paper by Morten Nielsen
by Dale Alspach 30 Nov '06

30 Nov '06

This is an announcement for the paper "An example of an almost greedy uniformly bounded orthonormal basis for $L_p([0,1])$" by Morten Nielsen. Abstract: We construct a uniformly bounded orthonormal almost greedy basis for $L_p([0,1])$, $1<p<\infty$. The example shows that it is not possible to extend Orlicz's theorem, stating that there are no uniformly bounded orthonormal unconditional bases for $L_p([0,1])$, $p\not=2$, to the class of almost greedy bases. Archive classification: Functional Analysis Mathematics Subject Classification: 42C20 Remarks: 8 pages The source file(s), QG.tex: 23612 bytes, is(are) stored in gzipped form as 0611890.gz with size 8kb. The corresponding postcript file has gzipped size 96kb. Submitted from: mnielsen(a)math.wustl.edu The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0611890 or http://arXiv.org/abs/math.FA/0611890 or by email in unzipped form by transmitting an empty message with subject line uget 0611890 or in gzipped form by using subject line get 0611890 to: math(a)arXiv.org.

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Abstract of a paper by Bernhard Haak and Jan van Neerven
by Dale Alspach 30 Nov '06

30 Nov '06

This is an announcement for the paper "Uniformly gamma-radonifying families of operators and the linear stochastic Cauchy problem in Banach spaces" by Bernhard Haak and Jan van Neerven. Abstract: We introduce the notion of uniform $\gamma$--radonification of a family of operators, which unifies the notions of $R$--boundedness of a family of operators and $\gamma$--radonification of an individual operator. We study the the properties of uniformly $\gamma$--radonifying families of operators in detail and apply our results to the stochastic abstract Cauchy problem $$ dU(t) = AU(t)\,dt + B\,dW(t), \quad U(0)=0. $$ Here, $A$ is the generator of a strongly continuous semigroup of operators on a Banach space $E$, $B$ is a bounded linear operator from a separable Hilbert space $H$ into $E$, and $W_H$ is an $H$--cylindrical Brownian motion. Archive classification: Functional Analysis Mathematics Subject Classification: 47B10; 35R15; 46B09; 46B50; 47D06; 60B11; 60H15 Remarks: submitted for publication The source file(s), unif-gamma.arxiv.tex: 75863 bytes, is(are) stored in gzipped form as 0611724.gz with size 23kb. The corresponding postcript file has gzipped size 152kb. Submitted from: bernhard.haak(a)math.uni-karlsruhe.de The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0611724 or http://arXiv.org/abs/math.FA/0611724 or by email in unzipped form by transmitting an empty message with subject line uget 0611724 or in gzipped form by using subject line get 0611724 to: math(a)arXiv.org.

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INFORMAL ANALYSIS SEMINAR (Second announcement)
by Artem Zvavitch 30 Nov '06

30 Nov '06

Dear Friends, In December 2-3, 2006, the Department of Mathematical Science at Kent State University will host the famous but still very informal. INFORMAL ANALYSIS SEMINAR The plan is to start with a Lunch at 12:00 and lectures at 1pm Saturday December 2 and finish on 4pm Sunday December 3. Please, check http://www.math.kent.edu/math/Informal-Analysis-Seminar-2006.cfm for more details. The list of speakers will include Alex Fish (Ohio State University), Karl Grosse-Erdmann (Fernuniversität Hagen, Germany), Don Hadwin (University of New Hampshire), Feodor Nazarov (Michigan State University), Vladimir Peller (Michigan State University), Pietro Poggi-Corradini (Kansas State University), Dmitry Ryabogin (Kansas State University) Vasiliy I. Vasyunin (Michigan State University & Russian Mathematical Institute, St.Petersburg). Alexander Volberg (Michigan State University). It would be great if you could visit Kent State and participate in seminar! Best Regards, Analysis group at Kent State!

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Abstract of a paper by Taras Banakh and Wieslaw Kubis
by Dale Alspach 22 Nov '06

22 Nov '06

This is an announcement for the paper "Spaces of continuous functions over Dugundji compacta" by Taras Banakh and Wieslaw Kubis. Abstract: We show that for every Dugundji compact $K$ the Banach space $C(K)$ is $1$-Plichko and the space $P(K)$ of probability measures on $K$ is Valdivia compact. Combining this result with the existence of a non-Valdivia compact group, we answer a question of Kalenda. Archive classification: Functional Analysis; General Topology Mathematics Subject Classification: Primary: 46B26; Secondary: 46E15, 54C35, 54D30 Remarks: 10 pages The source file(s), Plichko_spaces1ff.tex: 39642 bytes, is(are) stored in gzipped form as 0610795.gz with size 12kb. The corresponding postcript file has gzipped size 59kb. Submitted from: wkubis(a)pu.kielce.pl The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0610795 or http://arXiv.org/abs/math.FA/0610795 or by email in unzipped form by transmitting an empty message with subject line uget 0610795 or in gzipped form by using subject line get 0610795 to: math(a)arXiv.org.

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Abstract of a paper by Uffe Haagerup and Magdalena Musat
by Dale Alspach 08 Nov '06

08 Nov '06

This is an announcement for the paper "On the best constants in noncommutative Khintchine-type inequalities" by Uffe Haagerup and Magdalena Musat. Abstract: We obtain new proofs with improved constants of the Khintchine-type inequality with matrix coefficients in two cases. The first case is the Pisier and Lust-Piquard noncommutative Khintchine inequality for $p=1$\,, where we obtain the sharp lower bound of $\frac1{\sqrt{2}}$ in the complex Gaussian case and for the sequence of functions $\{e^{i2^nt}\}_{n=1}^\infty$\,. The second case is Junge's recent Khintchine-type inequality for subspaces of the operator space $R\oplus C$\,, which he used to construct a cb-embedding of the operator Hilbert space $OH$ into the predual of a hyperfinite factor. Also in this case, we obtain a sharp lower bound of $\frac1{\sqrt{2}}$\,. As a consequence, it follows that any subspace of a quotient of $(R\oplus C)^*$ is cb-isomorphic to a subspace of the predual of the hyperfinite factor of type $III_1$\,, with cb-isomorphism constant $\leq \sqrt{2}$\,. In particular, the operator Hilbert space $OH$ has this property. Archive classification: Operator Algebras; Functional Analysis Mathematics Subject Classification: 46L52; 47L25 Remarks: 35 pages The source file(s), UffeM2.tex: 125138 bytes, is(are) stored in gzipped form as 0611160.gz with size 33kb. The corresponding postcript file has gzipped size 224kb. Submitted from: mmusat(a)memphis.edu The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.OA/0611160 or http://arXiv.org/abs/math.OA/0611160 or by email in unzipped form by transmitting an empty message with subject line uget 0611160 or in gzipped form by using subject line get 0611160 to: math(a)arXiv.org.

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Informal Analysis Seminar at Kent State University December 2-3.
by Artem Zvavitch 07 Nov '06

07 Nov '06

Dear Friends, In December 2-3, 2006, the Department of Mathematical Science at Kent State University will be famous but still very informal. INFORMAL ANALYSIS SEMINAR The plan for now is to start around 1pm Saturday December 2 and finish on 3pm Sunday December 3pm (some possibility to make a break for Saturday night is still under discussion). The list of speakers will include Alex Fish (Ohio State University), Karl Grosse-Erdmann (Fernuniversität Hagen, Germany), Don Hadwin (University of New Hampshire), Feodor Nazarov (Michigan State University), Vladimir Peller (Michigan State University), Pietro Poggi-Corradini (Kansas State University), Dmitry Ryabogin (Kansas State University) Vasiliy I. Vasyunin (Michigan State University & Russian Mathematical Institute, St.Petersburg). It would be great if you could visit Kent State and participate in seminar! May we ask you to respond as soon as possible, so that we can gauge the need for housing, lecture room(s), etc. We hope to be sending out information regarding tiles/abstracts/housing by the end of next week. Best Regards, Analysis group at Kent State!

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Banach November 2006