The Randomized Dvoretzky’s Theorem in $$l_{\infty }^{n}$$ and the χ-Distribution

2014 ◽  
pp. 455-463
Author(s):  
Konstantin E. Tikhomirov
Keyword(s):  
Dvoretzky’S Theorem

scholarly journals ON A CHARACTERISTIC PROPERTY OF FINITE-DIMENSIONAL BANACH SPACES

2011 ◽  
Vol 53 (3) ◽  
pp. 443-449 ◽  
Author(s):  
ANTONÍN SLAVÍK
Keyword(s):  
Banach Space ◽  
Banach Spaces ◽  
Characteristic Property ◽  
Linear Operators ◽  
Infinite Dimensional ◽  
Counter Example ◽  
Finite Dimensional ◽  
Infinite Dimensional Banach Space ◽  
Dvoretzky’S Theorem ◽  
The Given

AbstractThis paper is inspired by a counter example of J. Kurzweil published in [5], whose intention was to demonstrate that a certain property of linear operators on finite-dimensional spaces need not be preserved in infinite dimension. We obtain a stronger result, which says that no infinite-dimensional Banach space can have the given property. Along the way, we will also derive an interesting proposition related to Dvoretzky's theorem.

scholarly journals On Dvoretzky's theorem for subspaces of L

2018 ◽  
Vol 275 (8) ◽  
pp. 2225-2252 ◽  
Author(s):  
Grigoris Paouris ◽  
Petros Valettas
Keyword(s):  
Dvoretzky’S Theorem

scholarly journals Dvoretzky's theorem for quasi-normed spaces

1991 ◽  
Vol 35 (2) ◽  
pp. 250-259 ◽  
Author(s):  
Y. Gordon ◽  
D. R. Lewis
Keyword(s):  
Normed Spaces ◽  
Dvoretzky’S Theorem

scholarly journals Hastings’s Additivity Counterexample via Dvoretzky’s Theorem

2010 ◽  
Vol 305 (1) ◽  
pp. 85-97 ◽  
Author(s):  
Guillaume Aubrun ◽  
Stanisław Szarek ◽  
Elisabeth Werner
Keyword(s):  
Dvoretzky’S Theorem
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