FUNCTIONS OF CONTINUOUS CESÁRO OPERATORS

Canadian Mathematical Bulletin 2026 Open access

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Authors: Adolf Ruvimovich Mirotin
DOI: 10.4153/s000843952610232x
Cited by: 0

Abstract

We describe holomorphic functions and fractional powers of Cesáro operators in L 2 (R), L 2 (R + ), and L 2 [0, 1].Logarithms of Cesáro operators are introduced as well and their spectral properties are studied in detail.Several examples are considered.

Fields of Study & Subjects

Advanced Banach Space Theory Approximation Theory and Sequence Spaces Holomorphic and Operator Theory

Publication details

Journal / source
Canadian Mathematical Bulletin
Publisher
Canadian Mathematical Society
Pages
1–22
Publication date
13 July 2026
Language
EN