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In this paper, we are concerned with the algebraic
representation of the quasi-nilpotent part for prehermitian
operators on Banach spaces. The quasi-nilpotent part of an
operator plays a significant role in the spectral theory and
Fredholm theory of operators 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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참고문헌 (12)
참고문헌 신청
/ / \ref \key 13 \bysame \paper Structure of maximal spectral spaces of generalized scalar operators \pages 493--496 \jour Czech. Math. J. \vol 23 \yr 1973 \endref
/ / \ref \key 4 \by K. Clancey \book Seminormal operators \bookinfo Lecture Notes in Math. \vol 742 \publ Springer \publaddr New York \yr 1979 \endref
/ / \ref \key 5 \by I. Colojoar\v a and C. Foia\c s \book Theory of generalized spectral operators \publ Gorden and Breach \publaddr New York \yr 1968 \endref
/ / \ref \key 6 \by H. R. Dowson \book Spectral Theory of linear operators \publ Academic Press \publaddr New York \yr 1978 \endref
/ / ule in mehreren Verr\ ur stetige lineare Operatoren auf Banachr\
/ / \ref \key 4 \by K. Clancey \book Seminormal operators \bookinfo Lecture Notes in Math. \vol 742 \publ Springer \publaddr New York \yr 1979 \endref
/ / \ref \key 5 \by I. Colojoar\v a and C. Foia\c s \book Theory of generalized spectral operators \publ Gorden and Breach \publaddr New York \yr 1968 \endref
/ / \ref \key 6 \by H. R. Dowson \book Spectral Theory of linear operators \publ Academic Press \publaddr New York \yr 1978 \endref
/ / ule in mehreren Verr\ ur stetige lineare Operatoren auf Banachr\
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