Über das Randspektrum komplexer ordnungsbeschränkter Operatoren in Banachverbänden.
On donne une borne supérieur du nombre des valeurs propres négatives de l’opérateur de Schrödinger généralisé, cette borne est donnée en fonction d’un nombre fini de cube dyadiques minimaux.
In this survey article we are going to present the effectiveness of the use of unitary asymptotes in the study of Hilbert space operators.
In this paper, we introduce the angular cutting and the generalized polar symbols of a p-hyponormal operator T in the case where U of the polar decomposition T = U|T| is not unitary and study spectral properties of it.
An increasing sequence of positive integers is said to be a Jamison sequence if for every separable complex Banach space X and every T ∈ ℬ(X) which is partially power-bounded with respect to , the set is at most countable. We prove that for every separable infinite-dimensional complex Banach space X which admits an unconditional Schauder decomposition, and for any sequence which is not a Jamison sequence, there exists T ∈ ℬ(X) which is partially power-bounded with respect to and has the...