PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wynik贸w
Czasopismo
2015 | 229 | 2 | 95-112
Tytu艂 artyku艂u

Duality of measures of non-饾挏-compactness

Tre艣膰 / Zawarto艣膰
Warianty tytu艂u
J臋zyki publikacji
EN
Abstrakty
EN
Let 饾挏 be a Banach operator ideal. Based on the notion of 饾挏-compactness in a Banach space due to Carl and Stephani, we deal with the notion of measure of non-饾挏-compactness of an operator. We consider a map $蠂_{饾挏}$ (respectively, $n_{饾挏}$) acting on the operators of the surjective (respectively, injective) hull of 饾挏 such that $蠂_{饾挏}(T) = 0$ (respectively, $n_{饾挏}(T) = 0$) if and only if the operator T is 饾挏-compact (respectively, injectively 饾挏-compact). Under certain conditions on the ideal 饾挏, we prove an equivalence inequality involving $蠂_{饾挏}(T*)$ and $n_{饾挏^{d}}(T)$. This inequality provides an extension of a previous result stating that an operator is quasi p-nuclear if and only if its adjoint is p-compact in the sense of Sinha and Karn.
S艂owa kluczowe
Tw贸rcy
  • Departamento de Matem谩tica Aplicada I, Escuela T茅cnica Superior de Arquitectura Avenida Reina Mercedes, 2, 41012 Seville, Spain
  • Departamento de Matem谩ticas, Facultad de Ciencias Experimentales, Campus Universitario de El Carmen, 21071 Huelva, Spain
Bibliografia
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-doi-10_4064-sm7984-1-2016
JavaScript jest wy艂膮czony w Twojej przegl膮darce internetowej. W艂膮cz go, a nast臋pnie od艣wie偶 stron臋, aby m贸c w pe艂ni z niej korzysta膰.