ON QUASISIMILARITY FOR LOG-HYPONORMAL OPERATORS
نویسندگان
چکیده
منابع مشابه
EXTENSIONS OF THE RESULTS ON POWERS OFp-HYPONORMAL AND log-HYPONORMAL OPERATORS
Firstly, we will show the following extension of the results on powers of p-hyponormal and log-hyponormal operators: let n andm be positive integers, if T is p-hyponormal for p ∈ (0,2], then: (i) in case m ≥ p, (Tn+mTn+m)(n+p)/(n+m) ≥ (TnTn)(n+p)/n and (TnTn ∗ )(n+p)/n ≥ (Tn+mTn+m)(n+p)/(n+m) hold, (ii) in case m < p, Tn+mTn+m ≥ (Tn ∗ Tn)(n+m)/n and (TnTn ∗ )(n+m)/n ≥ Tn+mTn+m hold. Secondly, w...
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ژورنال
عنوان ژورنال: Glasgow Mathematical Journal
سال: 2004
ISSN: 0017-0895,1469-509X
DOI: 10.1017/s0017089503001642