J Finch - Pacific journal of mathematics, 1975 - msp.org
An operator T which maps a Banach space X into itself has the single valued extension property if the only analytic function f which satisfies (λI− T) f (λ)= 0 is f= 0. Clearly the point …
T Oikhberg, HP Rosenthal - Journal of Functional Analysis, 2001 - Elsevier
Let Z be a fixed separable operator space, X⊂ Y general separable operator spaces, and T: X→ Z a completely bounded map. Z is said to have the Complete Separable Extension …
GC Rota - Communications on Pure and Applied Mathematics, 1958 - Wiley Online Library
Extension theory of differential operators I<link href='#fn1'></link> Page 1 COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, VOL. XI, 23-65 (1958) Extension Theory of …
Q Jiang, H Zhong, Q Zeng - Journal of Mathematical Analysis and …, 2012 - Elsevier
A localized version of the single-valued extension property is studied, for a bounded linear operator T acting on a Banach space and its adjoint T⁎, at the points λ0∈ C such that λ0I− T …
Several operational quantities have appeared in the literature characterizing upper semi- Fredholm operators. Here we show that these quantities can be divided into three classes, in …
BA Barnes - Proceedings of the American Mathematical Society, 1989 - ams.org
Assume $ T $ is a bounded linear operator on some Banach space $ Y $, and that $ T $ has a bounded extension $\bar T $ on another space. In general almost nothing can be said …
G Lancien - Archiv der Mathematik, 1998 - Springer
In this paper we give two counterexamples to the closedness of the sum of two sectorial operators with commuting resolvents. In the first example the operators are defined on an L …