Multiplication Operator on Köthe Spaces: Measure of Non-compactness and Closed Range

2017 ◽  
Vol 42 (4) ◽  
pp. 1523-1534 ◽  
Author(s):  
René Erlin Castillo ◽  
Humberto Rafeiro ◽  
Julio C. Ramos-Fernández ◽  
Margot Salas-Brown
Keyword(s):  
Multiplication Operator ◽  
Closed Range ◽  
Köthe Spaces

Diagonal maps and diameters in Köthe spaces

1975 ◽  
Vol 20 (1) ◽  
pp. 13-22 ◽  
Author(s):  
L. Crone ◽  
W. Robinson
Keyword(s):  
Köthe Spaces

Essential norm of weighted composition operators

Analysis ◽  
2018 ◽  
Vol 38 (3) ◽  
pp. 145-154
Author(s):  
Kuldip Raj ◽  
Charu Sharma
Keyword(s):  
Composition Operators ◽  
Essential Norm ◽  
Function Spaces ◽  
Weighted Composition Operators ◽  
Closed Range ◽  
Weighted Composition

Abstract In the present paper we characterize the compact, invertible, Fredholm and closed range weighted composition operators on Cesàro function spaces. We also make an effort to compute the essential norm of weighted composition operators.

The commutant of a multiplication operator

1982 ◽  
Vol 23 (12) ◽  
pp. 2268-2270 ◽  
Author(s):  
A. H. Nasr
Keyword(s):  
Multiplication Operator

scholarly journals BOUNDED LINEAR OPERATORS ON SPACES IN NORMED DUALITY

2007 ◽  
Vol 49 (1) ◽  
pp. 145-154
Author(s):  
BRUCE A. BARNES
Keyword(s):  
Banach Space ◽  
Linear Operator ◽  
Bounded Linear Operator ◽  
Integral Operators ◽  
Continuous Functions ◽  
Linear Operators ◽  
Bounded Linear Operators ◽  
Closed Range ◽  
Bounded Linear ◽  
Spaces Of Continuous Functions

Abstract.LetTbe a bounded linear operator on a Banach spaceW, assumeWandYare in normed duality, and assume thatThas adjointT†relative toY. In this paper, conditions are given that imply that for all λ≠0, λ−Tand λ −T†maintain important standard operator relationships. For example, under the conditions given, λ −Thas closed range if, and only if, λ −T†has closed range.These general results are shown to apply to certain classes of integral operators acting on spaces of continuous functions.

scholarly journals On the functional Hodrick–Prescott filter with non-compact operators

2016 ◽  
Vol 24 (1) ◽  
Author(s):  
Boualem Djehiche ◽  
Astrid Hilbert ◽  
Hiba Nassar
Keyword(s):  
Compact Operators ◽  
Closed Range ◽  
Underlying Distribution ◽  
Smoothing Operator ◽  
Optimal Smoothing ◽  
Compact Case ◽  
Densely Defined

AbstractWe study a version of the functional Hodrick–Prescott filter in the case when the associated operator is not necessarily compact but merely closed and densely defined with closed range. We show that the associated optimal smoothing operator preserves the structure obtained in the compact case when the underlying distribution of the data is Gaussian.

On complemented subspaces of non-Archimedean Köthe spaces

2019 ◽  
Vol 470 (1) ◽  
pp. 401-412
Author(s):  
Wiesław Śliwa ◽  
Agnieszka Ziemkowska
Keyword(s):  
Complemented Subspaces ◽  
Köthe Spaces

scholarly journals The Multiplication Operator fromF(p,q,s)Spaces tonth Weighted-Type Spaces on the Unit Disk

2012 ◽  
Vol 2012 ◽  
pp. 1-21 ◽  
Author(s):  
Yongmin Liu ◽  
Yanyan Yu
Keyword(s):  
Unit Disk ◽  
Analytic Functions ◽  
Multiplication Operator ◽  
Space Of Analytic Functions ◽  
Type Spaces ◽  
Weighted Type

LetH(𝔻)be the space of analytic functions on𝔻andu∈H(𝔻). The boundedness and compactness of the multiplication operatorMufromF(p,q,s),(or  F0(p,q,s))spaces tonth weighted-type spaces on the unit disk are investigated in this paper.

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