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Putnam-Fuglede type theorem for class A(k) operators
Journal article   Open access  Peer reviewed

Putnam-Fuglede type theorem for class A(k) operators

Ahmed Bachir, Nawal Ali Sayyaf, Khursheed J. Ansari and Khalid Ouarghi
AIMS mathematics, Vol.6(4), pp.4073-4082
01/04/2021
DOI: https://doi.org/10.3934/math.2021241

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
We will call U is an element of B(X) as an operator of class 54 if for some integer A(k) the following inequality is satisfied: vertical bar Uk+1 vertical bar(2/k+1) >= vertical bar U vertical bar(2). In the present article, some basic spectral properties of this class are given, also the asymmetric Putnam-Fuglede theorem and the range kernel orthogonality for class A(k) operators are proved.
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https://doi.org/10.3934/math.2021241View
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