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Spectra of Scalar-Type Spectral Operators and Schauder Decompositions

✍ Scribed by Susumu Okada

Publisher: John Wiley and Sons
Year: 1988
Tongue: English
Weight: 453 KB
Volume: 139
Category: Article
ISSN: 0025-584X
DOI: 10.1002/mana.19881390115

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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