The Mathematical Legacy of Victor Lomonosov: Operator Theory

Published by De Gruyter 2020

The Mathematical Legacy of Victor Lomonosov

Operator Theory

Edited by: Richard M. Aron , Eva A. Gallardo Gutiérrez , Miguel Martin , Dmitry Ryabogin , Ilya M. Spitkovsky and Artem Zvavitch

Volume 2 in the series Advances in Analysis and Geometry

https://doi.org/10.1515/9783110656756

Overview
Contents

About this book

The fundamental contributions made by the late Victor Lomonosov in several areas of analysis are revisited in this book, in particular, by presenting new results and future directions from world-recognized specialists in the field. The invariant subspace problem, Burnside’s theorem, and the Bishop-Phelps theorem are discussed in detail. This volume is an essential reference to both researchers and graduate students in mathematical analysis.

Collects works on the fundamental contributions in functional analysis and operator theory made by Victor Lomonosov
Edited by a group of internationally renowned mathematicians
Suitable for wide readership in mathematical analysis

Author information

R. M. Aron, USA; I. Spitkovsky, UAE; E. Gallardo, Spain; M. Martin, Spain; A. Zvavitch, USA; D. Ryabogin, USA.

Topics

Frontmatter Publicly Available Download PDF	I
Editors’ Introduction Publicly Available Download PDF	V
Per Enflo’s personal thoughts about Victor Lomonosov Publicly Available Download PDF	VII
Contents Publicly Available Download PDF	XI
1. Bishop–Phelps–Bollobás property for positive operators between classical Banach spaces María D. Acosta and Maryam Soleimani-Mourchehkhorti Requires Authentication Unlicensed Licensed Download PDF	1
2. Isometric embeddings of finite metric trees into (ℝⁿ, d₁) and (ℝⁿ, d_∞) Asuman Güven Aksoy, Mehmet Kılıç and Şahin Koçak Requires Authentication Unlicensed Licensed Download PDF	15
3. Iterates of the spherical Aluthge transform of 2-variable weighted shifts Chafiq Benhida and Raúl E. Curto Requires Authentication Unlicensed Licensed Download PDF	25
4. The freewheeling twisting of Hilbert spaces Jesús M. F. Castillo Requires Authentication Unlicensed Licensed Download PDF	43
5. A survey of ball-covering property of Banach spaces Lixin Cheng, Wen Zhang and Mikio Kato Requires Authentication Unlicensed Licensed Download PDF	67
6. A note on the quantitative local version of the log-Brunn–Minkowski inequality Andrea Colesanti and Galyna Livshyts Requires Authentication Unlicensed Licensed Download PDF	85
7. Spectra of “fattened” open book structures James E. Corbin and Peter Kuchment Requires Authentication Unlicensed Licensed Download PDF	99
8. On some local Bishop–Phelps–Bollobás properties Sheldon Dantas, Sun Kwang Kim, Han Ju Lee and Martin Mazzitelli Requires Authentication Unlicensed Licensed Download PDF	109
9. Bounded point derivations of fractional orders Stephen Deterding Requires Authentication Unlicensed Licensed Download PDF	123
10. Invariant subspaces: some minimal proofs Gilles Godefroy Requires Authentication Unlicensed Licensed Download PDF	131
11. On the Hypercyclicity Criterion for operators of Read’s type Sophie Grivaux Requires Authentication Unlicensed Licensed Download PDF	139
12. Three-space problem for strictly convex renormings A. J. Guirao, S. Lajara and S. Troyanski Requires Authentication Unlicensed Licensed Download PDF	149
13. Norm attaining operators of finite rank Vladimir Kadets, Ginés López, Miguel Martín and Dirk Werner Requires Authentication Unlicensed Licensed Download PDF	157
14. Isometric copies of ℓⁿ_∞ and ℓⁿ₁ in transportation cost spaces on finite metric spaces Seychelle S. Khan, Mutasim Mim and Mikhail I. Ostrovskii Requires Authentication Unlicensed Licensed Download PDF	189
15. From Lomonosov lemma to radical approach in joint spectral radius theory Edward Kissin, Victor S. Shulman and Yurii V. Turovskii Requires Authentication Unlicensed Licensed Download PDF	205
16. Pontryagin–Krein theorem: Lomonosov’s proof and related results Edward Kissin, Victor S. Shulman and Yurii V. Turovskii Requires Authentication Unlicensed Licensed Download PDF	231
17. Poincaré type and spectral gap inequalities with fractional Laplacians on Hamming cube Dong Li and Alexander Volberg Requires Authentication Unlicensed Licensed Download PDF	251
18. Spectra of generalized Poisson integral operators on L^p(ℝ⁺) Pedro J. Miana and Jesús Oliva-Maza Requires Authentication Unlicensed Licensed Download PDF	281
19. Order extreme points and solid convex hulls T. Oikhberg and M. A. Tursi Requires Authentication Unlicensed Licensed Download PDF	297
20. Universal block tridiagonalization in ℬ(ℋ) and beyond Sasmita Patnaik, Srdjan Petrovic and Gary Weiss Requires Authentication Unlicensed Licensed Download PDF	317
21. Rademacher-type independence in Boolean algebras Mikhail Popov Requires Authentication Unlicensed Licensed Download PDF	327
Index Requires Authentication Unlicensed Licensed Download PDF	349

(Deutsch)

Language: English
Publisher: De Gruyter
Audience: Researchers and graduate students in mathematical analysis.
Pages
- Front matter: 12
- Main content: 352
Illustrations
- Illustrations: 19
- Tables: 50
Keywords: Funktionalanalysis; Invarianter Unterraum; Operatortheorie

eBook

Published: August 10, 2020
ISBN: 9783110656756

Hardcover

Published: August 10, 2020
ISBN: 9783110653397