Operators which do not have the single valued extension property

P Aiena, O Monsalve - Journal of mathematical analysis and applications, 2000 - Elsevier
In this paper we shall consider the relationships between a local version of the single valued
extension property of a bounded operator T∈ L (X) on a Banach space X and some …

The single valued extension property on a Banach space

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 …

Extension properties for the space of compact operators

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 …

On a class of generalized Fredholm operators, I

C Schmoeger - Demonstratio Mathematica, 1997 - degruyter.com
Christoph Schmoeger ON A CLASS OF GENERALIZED FREDHOLM OPERATORS, I 1.
Terminology and introduction Throughout this paper X deno Page 1 DEMONSTRATIO …

[引用][C] Extension theory of differential operators I

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 …

Topological uniform descent and localized SVEP

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 …

[PDF][PDF] Operational quantities characterizing semi-Fredholm operators

M González, A Martinón - Studia Math, 1995 - matwbn.icm.edu.pl
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 …

On a class of generalized Fredholm operators, II

C Schmoeger - Demonstratio Mathematica, 1998 - degruyter.com
Christoph Schmoeger ON A CLASS OF GENERALIZED FREDHOLM OPERATORS, II 1.
Terminology and introduction The present paper is a cont Page 1 OEMONSTRATIO …

The spectral and Fredholm theory of extensions of bounded linear operators

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 …

Counterexamples concerning sectorial operators

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 …