A remark on λ-interwining hyponormal operators

  • Vasile Lauric Florida A&M University
Keywords: lambda commuting operators, hyponormal operators, point spectrum

Abstract

We extend a result concerning λ-commuting normal operators with empty point spectrum. More precisely, we prove that for a hyponormal operator T with empty point spectrum for which there exists a Hilbert-Schmidt operator K such that TK = λKT + μK for some |λ| < 1 and μ ∈ C, implies K = 0.

Author Biography

Vasile Lauric, Florida A&M University

Department of Mathematics

Associate Professor

Published
2014-10-13
Section
Articoli