May 2008 - Banach - mathdept.okstate.edu

Abstract of a paper by Pandelis Dodos
by alspach＠fourier.math.okstate.edu 15 May '08

15 May '08

This is an announcement for the paper "Definability under duality" by Pandelis Dodos. Abstract: It is shown that if $A$ is an analytic class of separable Banach spaces with separable dual, then the set $A^*=\{ Y:\exists X\in A \text{ with } Y\cong X^*\}$ is analytic. The corresponding result for pre-duals is false. Archive classification: math.FA math.LO Mathematics Subject Classification: 03E15, 46B10 Remarks: 9 pages, no figures The source file(s), DualsVersion-ArXiv.tex: 29048 bytes, is(are) stored in gzipped form as 0805.2036.gz with size 9kb. The corresponding postcript file has gzipped size 79kb. Submitted from: pdodos(a)math.ntua.gr The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/0805.2036 or http://arXiv.org/abs/0805.2036 or by email in unzipped form by transmitting an empty message with subject line uget 0805.2036 or in gzipped form by using subject line get 0805.2036 to: math(a)arXiv.org.

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Abstract of a paper by Pandelis Dodos, Jordi Lopez Abad and Stevo Todorcevic
by alspach＠fourier.math.okstate.edu 15 May '08

15 May '08

This is an announcement for the paper "Unconditional basic sequences in spaces of large density" by Pandelis Dodos, Jordi Lopez Abad and Stevo Todorcevic. Abstract: We study the problem of the existence of unconditional basic sequences in Banach spaces of high density. We show, in particular, the relative consistency with GCH of the statement that every Banach space of density $\aleph_\omega$ contains an unconditional basic sequence. Archive classification: math.FA math.LO Mathematics Subject Classification: 46B03, 03E35 The source file(s), DLT.tex: 74305 bytes, is(are) stored in gzipped form as 0805.1860.gz with size 22kb. The corresponding postcript file has gzipped size 136kb. Submitted from: abad(a)logique.jussieu.fr The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/0805.1860 or http://arXiv.org/abs/0805.1860 or by email in unzipped form by transmitting an empty message with subject line uget 0805.1860 or in gzipped form by using subject line get 0805.1860 to: math(a)arXiv.org.

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Abstract of a paper by Oscar Blasco and Sandra Pott
by alspach＠fourier.math.okstate.edu 13 May '08

13 May '08

This is an announcement for the paper "Embeddings between operator-valued dyadic BMO spaces" by Oscar Blasco and Sandra Pott. Abstract: We investigate a scale of dyadic operator-valued BMO spaces, corresponding to the different yet equivalent characterizations of dyadic BMO in the scalar case. In the language of operator spaces, we investigate different operator space structures on the scalar dyadic BMO space which arise naturally from the different characterisations of scalar BMO. We also give sharp dimensional growth estimates for the sweep of functions and its bilinear extension in some of those different dyadic BMO spaces. Archive classification: math.FA Mathematics Subject Classification: Primary 42B30, 42B35, Secondary 47B35 Remarks: to appear in Illinois J. Math The source file(s), BlascoPott2.tex: 45114 bytes, is(are) stored in gzipped form as 0805.0620.gz with size 14kb. The corresponding postcript file has gzipped size 102kb. Submitted from: s.pott(a)maths.gla.ac.uk The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/0805.0620 or http://arXiv.org/abs/0805.0620 or by email in unzipped form by transmitting an empty message with subject line uget 0805.0620 or in gzipped form by using subject line get 0805.0620 to: math(a)arXiv.org.

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symposium
by Dale Alspach 05 May '08

05 May '08

On May 27-28 the Institute of Mathematics of the Hebrew University of Jerusalem is organizing a memorial symposium for Lior Tzafriri, titled "Geometry of Banach Spaces". A tentative program of the symposium can be found on the webpage: http://www.ma.huji.ac.il/~landau/conf/banach_08.html

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