scholarly journals Simple algebras of completely continuous operators

1952 ◽  
Vol 4 (3) ◽  
pp. 303-308 ◽  
Author(s):  
Masahiro Nakamura ◽  
Takasi Turumaru
Keyword(s):  
Completely Continuous ◽  
Completely Continuous Operators ◽  
Simple Algebras ◽  
Continuous Operators

On the existence of fixed points in completely continuous operators in F -space

2019 ◽  
pp. 26-32
Author(s):  
Alexander Dorokhov ◽  
Michael Karpov
Keyword(s):  
Fixed Points ◽  
Normed Space ◽  
Fréchet Space ◽  
Frechet Space ◽  
Completely Continuous ◽  
Completely Continuous Operators ◽  
Continuous Operators

This work is dedicated to the development of the theory of fixed points of completely continuous operators. We prove existence of new theorems of fixed points of completely continuous operators in F -space (Frechet space). This class of spaces except Banach includes such important space as a countably normed space and Lp(0 < p < 1), lp(0 < p < 1).

Norm Ideals of Completely Continuous Operators.

1961 ◽  
Vol 68 (8) ◽  
pp. 823
Author(s):  
Howard H. Wicke ◽  
Robert Schatten
Keyword(s):  
Completely Continuous ◽  
Completely Continuous Operators ◽  
Continuous Operators

Continuous linear operators on Orlicz-Bochner spaces

2019 ◽  
Vol 17 (1) ◽  
pp. 1147-1155 ◽  
Author(s):  
Marian Nowak
Keyword(s):  
Finite Measure ◽  
Compact Operators ◽  
Linear Operators ◽  
Continuous Linear ◽  
Weakly Compact ◽  
Completely Continuous ◽  
Completely Continuous Operators ◽  
Weakly Compact Operators ◽  
Continuous Operators ◽  
Continuous Linear Operators

Abstract Let (Ω, Σ, μ) be a complete σ-finite measure space, φ a Young function and X and Y be Banach spaces. Let Lφ(X) denote the corresponding Orlicz-Bochner space and $\begin{array}{} \displaystyle \mathcal T^\wedge_\varphi \end{array}$ denote the finest Lebesgue topology on Lφ(X). We examine different classes of ( $\begin{array}{} \displaystyle \mathcal T^\wedge_\varphi \end{array}$, ∥ ⋅ ∥Y)-continuous linear operators T : Lφ(X) → Y: weakly compact operators, order-weakly compact operators, weakly completely continuous operators, completely continuous operators and compact operators. The relationships among these classes of operators are established.

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