The mathematical legacy of Victor Lomonosov : operator theory / edited by Richard M. Aron [and five others].

Format:

Book

Contributor:

Aron, Richard M., editor.

Series:

Advances in analysis and geometry ; Volume 2.

Advances in analysis and geometry ; Volume 2

Language:

English

Subjects (All):

Operator theory.

Physical Description:

1 online resource (xii, 351 pages).

Place of Publication:

Berlin ; Boston : De Gruyter, [2020]

Summary:

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.

Contents:

Frontmatter

Editors’ Introduction

Per Enflo’s personal thoughts about Victor Lomonosov

Contents

1. Bishop–Phelps–Bollobás property for positive operators between classical Banach spaces

2. Isometric embeddings of finite metric trees into (ℝn, d1) and (ℝn, d∞)

3. Iterates of the spherical Aluthge transform of 2-variable weighted shifts

4. The freewheeling twisting of Hilbert spaces

5. A survey of ball-covering property of Banach spaces

6. A note on the quantitative local version of the log-Brunn–Minkowski inequality

7. Spectra of “fattened” open book structures

8. On some local Bishop–Phelps–Bollobás properties

9. Bounded point derivations of fractional orders

10. Invariant subspaces: some minimal proofs

11. On the Hypercyclicity Criterion for operators of Read’s type

12. Three-space problem for strictly convex renormings

13. Norm attaining operators of finite rank

14. Isometric copies of ℓn∞ and ℓn1 in transportation cost spaces on finite metric spaces

15. From Lomonosov lemma to radical approach in joint spectral radius theory

16. Pontryagin–Krein theorem: Lomonosov’s proof and related results

17. Poincaré type and spectral gap inequalities with fractional Laplacians on Hamming cube

18. Spectra of generalized Poisson integral operators on Lp(ℝ+)

19. Order extreme points and solid convex hulls

20. Universal block tridiagonalization in ℬ(ℋ) and beyond

21. Rademacher-type independence in Boolean algebras

Index

Notes:

Description based on print version record.

Includes index.

ISBN:

9783110653465

311065346X

9783110656756

3110656752

OCLC:

1191864033