ANALYTIC EXTENSIONS OF M-HYPONORMAL OPERATORS

Title & Authors
ANALYTIC EXTENSIONS OF M-HYPONORMAL OPERATORS
MECHERI, SALAH; ZUO, FEI;

Abstract
In this paper, we introduce the class of analytic extensions of M-hyponormal operators and we study various properties of this class. We also use a special Sobolev space to show that every analytic extension of an M-hyponormal operator T is subscalar of order 2k + 2. Finally we obtain that an analytic extension of an M-hyponormal operator satisfies Weyls theorem.
Keywords
M-hyponormal operator;Bishops property ($\small{{\beta}}$);subscalar operator;Weyl`s theorem;
Language
English
Cited by
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