ON PREHERMITIAN OPERATORS | Zendy

Jong-Kwang Yoo | Zendy; HyukSoo Han | Zendy

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ON PREHERMITIAN OPERATORS

Author(s) -

Jong-Kwang Yoo,

HyukSoo Han

Publication year - 2006

Publication title -

communications of the korean mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.286

H-Index - 15

eISSN - 2234-3024

pISSN - 1225-1763

DOI - 10.4134/ckms.2006.21.1.053

Subject(s) - mathematics , nilpotent , pure mathematics , banach space , algebraic number , finite rank operator , operator theory , algebra over a field , mathematical analysis

In this paper, we are concerned with the algebraic rep- resentation of the quasi-nilpotent part for prehermitian operators on Banach spaces. The quasi-nilpotent part of an operator plays a signiflcant role in the spectral theory and Fredholm theory of oper- ators on Banach spaces. Properties of the quasi-nilpotent part are investigated and an application is given to totally paranormal and prehermitian operators.

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