A similarity between hyponormal and normal spectra
نویسندگان
چکیده
منابع مشابه
Remarks on Hyponormal Operators and Almost Normal Operators
In 1984 M. Putinar proved that hyponormal operators are subscalar operators of order two. The proof provided a concrete structure of such operators. We will use this structure to give a sufficient condition for hyponormal operators T with trace-class commutator to admit a direct summand S so that T ⊕ S is the sum of a normal operator and a HilbertSchmidt operator. We investigate what this suffi...
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In this note we prove that if A and B∗ are subnormal operators and X is a bounded linear operator such that AX − XB is a Hilbert-Schmidt operator, then f(A)X −Xf(B) is also a Hilbert-Schmidt operator and ||f(A)X −Xf(B)||2 ≤ L ||AX −XB||2, for f belonging to a certain class of functions. Furthermore, we investigate the similar problem in the case that S, T are hyponormal operators and X ∈ L(H) i...
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ژورنال
عنوان ژورنال: Illinois Journal of Mathematics
سال: 1972
ISSN: 0019-2082
DOI: 10.1215/ijm/1256065553