A Fuglede-Putnam theorem modulo the Hilbert-Schmidt class for almost normal operators with finite modulus of Hilbert-Schmidt quasi-triangularity

Vasile Lauric 1
  • 1 Department of Mathematics, Florida A&M University, Tallahassee, FL 32307, USA

Abstract

We extend the Fuglede-Putnam theorem modulo the Hilbert-Schmidt class to almost normal operators with finite Hilbert-Schmidt modulus of quasi-triangularity.

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Concrete Operators is devoted to original research articles on all special classes of linear operators acting on function spaces and their applications. Concrete operators have shown to be prevalent in almost all domains of science and technology and are interconnected to many other branches of mathematics. Concrete Operators publishes articles devoted to all special classes of linear operators acting on function spaces.

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