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