Strongly Kreiss bounded operators in UMD Banach spaces

Journal article (2024)

Authors

C. Deng Analysis -

E. Lorist Analysis -

Research Group

Analysis () (TU Delft)

Fourier multipliers (Strongly) Kreiss bounded Decompositions Discrete semigroup Power boundedness UMD space

To reference this document use:

http://resolver.tudelft.nl/uuid:371b7f67-4370-4599-9e3c-c043cf329c08

More Info

expand_more

Published Date

2024

Language

English

Reuse Rights

Other than for strictly personal use, it is not permitted to download, forward or distribute the text or part of it, without the consent of the author(s) and/or copyright holder(s), unless the work is under an open content license such as Creative Commons.

Faculty

Electrical Engineering, Mathematics and Computer Science

Department

Delft Institute of Applied Mathematics

Research Group

Analysis

Abstract

In this paper we give growth estimates for ‖Tⁿ‖ for n→∞ in the case T is a strongly Kreiss bounded operator on a UMD Banach space X. In several special cases we provide explicit growth rates. This includes known cases such as Hilbert and L^p-spaces, but also intermediate UMD spaces such as non-commutative L^p-spaces and variable Lebesgue spaces.

Files

S00233-024-10441-x.pdf

(pdf | 0.553 Mb)

Unknown license

File under embargo until 09-12-2024