Invariant subspaces for the family of operators which commute with a completely continuous operator

1974 ◽  
Vol 7 (3) ◽  
pp. 213-214 ◽  
Author(s):  
V. I. Lomonosov
Keyword(s):  
Invariant Subspaces ◽  
Continuous Operator ◽  
Completely Continuous ◽  
Completely Continuous Operator ◽  
The Family

scholarly journals Sufficient conditions for a continuous linear operator to be weakly compact

1972 ◽  
Vol 7 (2) ◽  
pp. 183-190 ◽  
Author(s):  
Joe Howard ◽  
Kenneth Melendez
Keyword(s):  
Linear Operator ◽  
Sufficient Conditions ◽  
Continuous Linear Operator ◽  
Continuous Operator ◽  
Continuous Linear ◽  
Weakly Compact ◽  
Completely Continuous ◽  
Completely Continuous Operator ◽  
Locally Convex

A locally convex topological vector (LCTV) space E is said to have property V (Dieudonné property) if for every complete separated LCTV space F, every unconditionally converging (weakly completely continuous) operator T: E → F is wsakly compact. First, an investigation of the permanence of property V is given. The permanence of the Dieudonné is analogous. Relationships between property V and the Dieudonné property are then given.

scholarly journals Pseudospectra in a non-Archimedean Banach space and essential pseudospectra in Eω

Filomat ◽  
2019 ◽  
Vol 33 (12) ◽  
pp. 3961-3976
Author(s):  
Aymen Ammar ◽  
Ameni Bouchekoua ◽  
Aref Jeribi
Keyword(s):  
Banach Space ◽  
Hilbert Space ◽  
Linear Operator ◽  
Continuous Operator ◽  
Linear Operators ◽  
Closed Linear Operator ◽  
Completely Continuous ◽  
Completely Continuous Operator

In this work, we introduce and study the pseudospectra and the essential pseudospectra of linear operators in a non-Archimedean Banach space and in the non-Archimedean Hilbert space E?, respectively. In particular, we characterize these pseudospectra. Furthermore, inspired by T. Diagana and F. Ramaroson [12], we establish a relationship between the essential pseudospectrum of a closed linear operator and the essential pseudospectrum of this closed linear operator perturbed by completely continuous operator in the non-Archimedean Hilbert space E?.

Asymptote of the eigenvalues of a completely continuous operator

1973 ◽  
Vol 14 (4) ◽  
pp. 837-839
Author(s):  
K. Kh. Boimatov
Keyword(s):  
Continuous Operator ◽  
Completely Continuous ◽  
Completely Continuous Operator
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