On One Class of Banach Function Spaces Defined by Shift Operators
Abstract
Main aim of this work is to define the class of Banach function spaces which cover rearrangement-invariant and additive-invariant spaces.These spaces are characterized by behavior of additive-shift operators generated by sufficiently small vectors.It is proved that considered spaces are isomorphic to so called additive-invariant spaces.
Fields of Study & Subjects
Advanced Banach Space Theory
Advanced Operator Algebra Research
Holomorphic and Operator Theory
Publication details
- Journal / source
- Azerbaijan Journal of Mathematics
- Issue
- 01
- Pages
- 258–258
- Publication date
- 1 January 2026