Author/Editor		Drnovšek, Roman
Title		Parareductive operators on Banach spaces
Type		članek
Source		Can Math Bull
Vol. and No.		Letnik 37, št. 3
Publication year		1994
Volume		str. 346-50
Language		eng
Abstract		This note gives a Banach space extension of the Hilbert space result due to P A. Fillmore (see (3)). In particular, it is shown that the adjoint T* = A - iB of an operator T = A + iB (with A and B hermitian) is a polynomial in T if and only if T* leaves invariant every linear subspace invariant under T, and this is equivalent to the assertion that T* leaves invariant every paraclosed subspace invariant under T.
Descriptors		MATHEMATICS MODELS, THEORETICAL