On the type and cotype of Banach spaces

1979 ◽  
Vol 32 (1) ◽  
pp. 32-38 ◽  
Author(s):  
L. Tzafriri
Keyword(s):  
Banach Spaces ◽  
Type And Cotype

Type and Cotype of Banach Spaces

1991 ◽  
pp. 236-271 ◽  
Author(s):  
Michel Ledoux ◽  
Michel Talagrand
Keyword(s):  
Banach Spaces ◽  
Type And Cotype

scholarly journals Type and Cotype Constants and the Linear Stability of Wigner’s Symmetry Theorem

Symmetry ◽  
2019 ◽  
Vol 11 (9) ◽  
pp. 1107
Author(s):  
Javier Cuesta
Keyword(s):  
Banach Spaces ◽  
Linear Stability ◽  
Linear Extension ◽  
Transition Probabilities ◽  
Linear Map ◽  
Additive Error ◽  
Type And Cotype

We study the relation between almost-symmetries and the geometry of Banach spaces. We show that any almost-linear extension of a transformation that preserves transition probabilities up to an additive error admits an approximation by a linear map, and the quality of the approximation depends on the type and cotype constants of the involved spaces.

scholarly journals Type and cotype numbers of operators on Banach spaces

1990 ◽  
Vol 96 (1) ◽  
pp. 21-37 ◽  
Author(s):  
Albrecht Pietsch
Keyword(s):  
Banach Spaces ◽  
Type And Cotype

scholarly journals Type and cotype of some Banach spaces

1992 ◽  
Vol 15 (2) ◽  
pp. 235-240 ◽  
Author(s):  
Mieczyslaw Mastylo
Keyword(s):  
Banach Spaces ◽  
Function Spaces ◽  
Banach Function Spaces ◽  
Sublinear Operators ◽  
Type And Cotype

Type and cotype are computed for Banach spaces generated by some positive sublinear operators and Banach function spaces. Applications of the results yield that under certain assumptions Clarkson's inequalities hold in these spaces.

scholarly journals Lévy-Khinchine representation and Banach spaces of type and cotype

1980 ◽  
Vol 66 (3) ◽  
pp. 299-306 ◽  
Author(s):  
G. Hamedani ◽  
V. Mandrekar
Keyword(s):  
Banach Spaces ◽  
Type And Cotype

Borel reductibility and Hölder (α) embeddability between Banach spaces

2012 ◽  
Vol 77 (1) ◽  
pp. 224-244 ◽  
Author(s):  
Longyun Ding
Keyword(s):  
Banach Space ◽  
Banach Spaces ◽  
Separable Banach Space ◽  
Equivalence Relations ◽  
Type And Cotype ◽  
Borel Reducibility

AbstractWe investigate Borel reducibility between equivalence relations E(X; p) = Xℕ/ℓp(X)'s where X is a separable Banach space. We show that this reducibility is related to the so called Hölder(α) embeddability between Banach spaces. By using the notions of type and cotype of Banach spaces, we present many results on reducibility and unreducibility between E(Lr; p)'s and E(c0; p)'s for r, p Є [1, +∞).We also answer a problem presented by Kanovei in the affirmative by showing that C(ℝ+)/C0(ℝ+) is Borel bireducible to ℝℕ/c0.

Fredholm Theory in Banach Spaces

1986 ◽  
Author(s):  
Anthony Francis Ruston
Keyword(s):  
Banach Spaces ◽  
Fredholm Theory
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