February 2016 - Banach - mathdept.okstate.edu

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!

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Informal Analysis Seminar at Kent State, November 14-15.
by Artem Zvavitch 14 Mar '16

14 Mar '16

Dear Colleague, The Analysis group at Kent State University is happy to announce a meeting of the Informal Analysis Seminar, which will be held at the Department of Mathematical Sciences at Kent State University, November 14-15, 2015. The plenary lecture series will be given by: Boaz Klartag (Tel Aviv University) and Igor Rivin (University of St. Andrews) Each speaker will deliver a four hour lecture series designed to be accessible for graduate students. Funding is available to cover the local and travel expenses of a limited number of participants. Graduate students, postdoctoral researchers, and members of underrepresented groups are particularly encouraged to apply for support. A poster session will be held for researchers to display their work. Graduate students are particularly encouraged to submit a poster. Posters can be submitted electronically in PDF format before November 6, 2015. Further information, and an online registration form, can be found online http://www.math.kent.edu/~zvavitch/informal/Informal_Analysis_Seminar/Novem… We encourage you to register as soon as possible, but to receive support and/or help with hotel reservation, please, register before October 1, 2015. Please feel free to contact us at informal(a)math.kent.edu for any further information. Sincerely, Analysis Group at Kent State University

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[Banach Space Bulletin Board] Abstract of a paper by Christian Bargetz, Michael Dymond and Simeon Reich
by Bentuo Zheng (bzheng) 28 Feb '16

28 Feb '16

This is an announcement for the paper “Porosity Results for Sets of Strict Contractions on Geodesic Metric Spaces” by Christian Bargetz, Michael Dymond and Simeon Reich. Abstract: We consider a large class of geodesic metric spaces, including Banach spaces, hyperbolic spaces and geodesic $CAT(\kappa)$-spaces, and investigate the space of nonexpansive mappings on either a convex or a star-shaped subset in these settings. We prove that the strict contractions form a negligible subset of this space in the sense that they form a $\sigma$-porous subset. For separable metric spaces we show that a generic nonexpansive mapping has Lipschitz constant one at typical points of its domain. These results contain the case of nonexpansive self-mappings and the case of nonexpansive set-valued mappings as particular cases. The paper may be downloaded from the archive by web browser from URL http://arxiv.org/abs/1602.05230

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[Banach Space Bulletin Board] Abstract of a paper by E. M. Bednarczuk and K. Lesniewski
by Bentuo Zheng (bzheng) 28 Feb '16

28 Feb '16

This is an announcement for the paper “On weakly sequentially complete Banach spaces” by E. M. Bednarczuk and K. Lesniewski. Abstract: We provide sufficient conditions for a Banach space $Y$ to be weakly sequentially complete. These conditions are expressed in terms of the existence of directional derivatives for cone convex mappings with values in $Y$. The paper may be downloaded from the archive by web browser from URL http://arxiv.org/abs/1602.04718

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[Banach Space Bulletin Board] Abstract of a paper by Johann Langemets, Vegard Lima and Abraham Rueda Zoca
by Bentuo Zheng (bzheng) 28 Feb '16

28 Feb '16

This is an announcement for the paper “Almost square and octahedral norms in tensor products of Banach spaces” by Johann Langemets, Vegard Lima and Abraham Rueda Zoca. Abstract: The aim of this note is to study some geometrical properties like diameter two properties, octahedrality and almost squareness in the setting of (symmetric) tensor product spaces. In particular, we show that the injective tensor product of two octahedral Banach spaces is always octahedral, the injective tensor product of an almost square Banach space with any Banach space is almost square, and the injective symmetric tensor product of an octahedral Banach space is octahedral. The paper may be downloaded from the archive by web browser from URL http://arxiv.org/abs/1602.07090

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[Banach Space Bulletin Board] Abstract of a paper by Angela Capel, Miguel Martin and Javier Meri
by Bentuo Zheng (bzheng) 28 Feb '16

28 Feb '16

This is an announcement for the paper “Numerical radius attaining compact linear operators” by Angela Capel, Miguel Martin and Javier Meri. Abstract: We show that there are compact linear operators on Banach spaces which cannot be approximated by numerical radius attaining operators. The paper may be downloaded from the archive by web browser from URL http://arxiv.org/abs/1602.07084

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[Banach Space Bulletin Board] Abstract of a paper by Richard Duong and Friedrich Philipp
by Bentuo Zheng (bzheng) 28 Feb '16

28 Feb '16

This is an announcement for the paper “The effect of perturbations of linear operators on their polar decomposition” by Richard Duong and Friedrich Philipp. Abstract: The effect of matrix perturbations on the polar decomposition has been studied by several authors and various results are known. However, for operators between infinite-dimensional spaces the problem has not been considered so far. Here, we prove in particular that the partial isometry in the polar decomposition of an operator is stable under perturbations, given that kernel and range of original and perturbed operator satisfy a certain condition. In the matrix case, this condition is weaker than the usually imposed equal-rank condition. It includes the case of semi-Fredholm operators with agreeing nullities and deficiencies, respectively. In addition, we prove a similar perturbation result where the ranges or the kernels of the two operators are assumed to be sufficiently close to each other in the gap metric. The paper may be downloaded from the archive by web browser from URL http://arxiv.org/abs/1602.05304

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[Banach Space Bulletin Board] Abstract of a paper by Dmitrii V. Prokhorov and Vladimir D. Stepanov
by Bentuo Zheng (bzheng) 28 Feb '16

28 Feb '16

This is an announcement for the paper “Weighted inequalities for quasilinear integral operators on the semiaxis and application to the Lorentz spaces” by Dmitrii V. Prokhorov and Vladimir D. Stepanov. Abstract: Weighted $L_p-L_r$ inequalities with arbitrary measurable non-negative weights for positive quasilinear integral operators with Oinarov's kernel on the semiaxis are characterized. Application to the boundedness of maximal operator in the Lorentz $\Gamma$−spaces is given. The paper may be downloaded from the archive by web browser from URL http://arxiv.org/abs/1602.04884

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[Banach Space Bulletin Board] Abstract of a paper by Bahram Khodsiani and Ali Rejali
by Bentuo Zheng (bzheng) 28 Feb '16

28 Feb '16

This is an announcement for the paper “Group Representations on Reflexive Spaces” by Bahram Khodsiani and Ali Rejali. Abstract: For weighted group convoltion measure algebra we construct a representation on reflexsive space. The paper may be downloaded from the archive by web browser from URL http://arxiv.org/abs/1602.04638

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[Banach Space Bulletin Board] Abstract of a paper by Nikolaos Roidos
by Bentuo Zheng (bzheng) 28 Feb '16

28 Feb '16

This is an announcement for the paper “Closedness and invertibility for the sum of two closed operators” by Nikolaos Roidos. Abstract: We show a Kalton-Weis type theorem for the general case of non-commuting operators. More precisely, we consider sums of two possibly non-commuting linear operators defined in a Banach space such that one of the operators admits bounded $H_{\infty}$-calculus, the resolvent of the other one satisfies some weaker boundedness condition and the commutator of their resolvents has certain decay behavior with respect to the spectral parameters. Under this consideration, we show that the sum is closed and that after a sufficiently large positive shift it becomes invertible, and moreover sectorial. As an application, we employ this result in combination with a resolvent construction technique, and recover a classical result on the existence, uniqueness and maximal $L_p$-regularity of solution for the abstract non-autonomous linear parabolic problem. The paper may be downloaded from the archive by web browser from URL http://arxiv.org/abs/1602.04465

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