Avtor/Urednik     Drnovšek, Roman
Naslov     Parareductive operators on Banach spaces
Tip     članek
Vir     Can Math Bull
Vol. in št.     Letnik 37, št. 3
Leto izdaje     1994
Obseg     str. 346-50
Jezik     eng
Abstrakt     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.
Deskriptorji     MATHEMATICS
MODELS, THEORETICAL