Order isomorphisms and triple isomorphisms of operator ideals and their reflexivity

1997 ◽  
Vol 69 (6) ◽  
pp. 497-506 ◽  
Author(s):  
Lajos Moln�r ◽  
Peter ?emrl
Keyword(s):  
Operator Ideals ◽  
Order Isomorphisms

Injective Dual Banach Spaces and Operator Ideals

2021 ◽  
Vol 18 (1) ◽  
Author(s):  
Raffaella Cilia ◽  
Joaquín M. Gutiérrez
Keyword(s):  
Banach Spaces ◽  
Operator Ideals

Nonlinear equations in soliton physics and operator ideals

Nonlinearity ◽  
1999 ◽  
Vol 12 (2) ◽  
pp. 333-364 ◽  
Author(s):  
B Carl ◽  
C Schiebold
Keyword(s):  
Nonlinear Equations ◽  
Operator Ideals

scholarly journals Small operator ideals on the Schlumprecht and Schreier spaces

2021 ◽  
pp. 109156
Author(s):  
Antonis Manoussakis ◽  
Anna Pelczar-Barwacz
Keyword(s):  
Operator Ideals

Duality of the distance to closed operator ideals

2003 ◽  
Vol 133 (1) ◽  
pp. 197-212 ◽  
Author(s):  
Hans-Olav Tylli
Keyword(s):  
Banach Spaces ◽  
Closed Operator ◽  
Operator Ideal ◽  
Linear Operators ◽  
Distance Functions ◽  
Approximation Properties ◽  
Operator Ideals ◽  
Bounded Linear Operators ◽  
Bounded Linear ◽  
Special Operator

Special operator-ideal approximation properties (APs) of Banach spaces are employed to solve the problem of whether the distance functions S ↦ dist(S*, I(F*, E*)) and S ↦ dist(S, I*(E, F)) are uniformly comparable in each space L(E, F) of bounded linear operators. Here, I*(E, F) = {S ∈ L(E, F) : S* ∈ I(F*, E*)} stands for the adjoint ideal of the closed operator ideal I for Banach spaces E and F. Counterexamples are obtained for many classical surjective or injective Banach operator ideals I by solving two resulting ‘asymmetry’ problems for these operator-ideal APs.

scholarly journals Cartan subalgebras of operator ideals

2016 ◽  
Vol 65 (1) ◽  
pp. 1-37 ◽  
Author(s):  
Daniel Beltita ◽  
SASMITA PATNAIK ◽  
Gary Weiss
Keyword(s):  
Operator Ideals ◽  
Cartan Subalgebras

CLASSES OF SEQUENTIALLY LIMITED OPERATORS

2015 ◽  
Vol 58 (3) ◽  
pp. 573-586
Author(s):  
JAN H. FOURIE ◽  
ELROY D. ZEEKOEI
Keyword(s):  
Banach Space ◽  
Vector Space ◽  
Normed Space ◽  
Operator Ideal ◽  
Operator Ideals ◽  
Ideal Norm ◽  
Relevant Operator

AbstractThe purpose of this paper is to present a brief discussion of both the normed space of operator p-summable sequences in a Banach space and the normed space of sequentially p-limited operators. The focus is on proving that the vector space of all operator p-summable sequences in a Banach space is a Banach space itself and that the class of sequentially p-limited operators is a Banach operator ideal with respect to a suitable ideal norm- and to discuss some other properties and multiplication results of related classes of operators. These results are shown to fit into a general discussion of operator [Y,p]-summable sequences and relevant operator ideals.

Order Isomorphisms of Operator Intervals

2017 ◽  
Vol 89 (1) ◽  
pp. 1-42 ◽  
Author(s):  
Peter Šemrl
Keyword(s):  
Order Isomorphisms
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