Some mapping theorems involving the perturbations of m-accretive operators
β 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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π SIMILAR VOLUMES
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
## Abstract A Hilbert space operator __S__ is called (__p, k__)βquasihyponormal if __S__ \*^__k__^ ((__S__ \*__S__)^__p__^ β (__SS__ \*)^__p__^ )__S^k^__ β₯ 0 for an integer __k__ β₯ 1 and 0 < __p__ β€ 1. In the present note, we consider (__p, k__)βquasihyponormal operator __S__ β __B__ (__H__) such