Open AccessBounds for uniform resolvent conditions
Author(s) -
Yin Chen
Publication year - 2020
Publication title -
tamkang journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.324
H-Index - 18
eISSN - 0049-2930
pISSN - 2073-9826
DOI - 10.5556/j.tkjm.51.2020.2871
Subject(s) - mathematics , resolvent , resolvent formalism , banach space , finite rank operator , bounded operator , bounded function , c0 semigroup , pure mathematics , operator (biology) , compact operator , mathematical analysis , discrete mathematics , extension (predicate logic) , biochemistry , chemistry , repressor , computer science , transcription factor , gene , programming language
For a bounded linear operator on a Banach space, the uniform resolvent condition implies the absolute summability of the powers of the operator. In this paper, we study the bounds for the absolute sum of the powers of an operator that satisfies the uniform resolvent condition. Some known bounds on general Banach spaces as well as on finite-dimensional Banach spaces are improved.