Absolutely divergent series and Banach operator ideals

1982 ◽  
pp. 200-210
Author(s):  
William H. Ruckle
Keyword(s):  
Divergent Series ◽  
Operator Ideals

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.

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