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On Foxʼs m-dimensional category and theorems of Bochner type

✍ Scribed by John Oprea; Jeff Strom


Book ID
113933916
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
234 KB
Volume
159
Category
Article
ISSN
0166-8641

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## Abstract A Hilbert space operator __S__ is called (__p, k__)‐quasihyponormal if __S__ \*^__k__^ ((__S__ \*__S__)^__p__^ – (__SS__ \*)^__p__^ )__S^k^__ ≥ 0 for an integer __k__ ≥ 1 and 0 < __p__ ≤ 1. In the present note, we consider (__p, k__)‐quasihyponormal operator __S__ ∈ __B__ (__H__) such