A remark on λ-interwining hyponormal operators

Authors

  • 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

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Published

2014-10-13

Issue

Vol. 69 No. 2 (2014)

Section

Articoli

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