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Some mapping theorems involving the perturbations of m-accretive operators

✍ Scribed by He Zhen


Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
386 KB
Volume
19
Category
Article
ISSN
0362-546X

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Let X be a real Banach space and T : D(T) C X --\\* 2 X be an m-accretive operator. Let C : D(T) C X --~ X be a bounded operator (not necessarily continuous) such that C(T -+-i)-1 is compact. Suppose that for every x β€’ D(T) with Hxll > r, there exists jx 6 Jx such that > o, (,) for all u E Tx. Then

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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^__ β‰₯ 0 for an integer __k__ β‰₯ 1 and 0 < __p__ ≀ 1. In the present note, we consider (__p, k__)‐quasihyponormal operator __S__ ∈ __B__ (__H__) such