scholarly journals Tame linear extension operators for smooth Whitney functions

2011 ◽  
Vol 261 (3) ◽  
pp. 591-603 ◽  
Author(s):  
Leonhard Frerick ◽  
Enrique Jordá ◽  
Jochen Wengenroth
2007 ◽  
Vol 07 (03) ◽  
pp. 389-401 ◽  
Author(s):  
L. B. RYASHKO

An exponential mean square stability for the invariant manifold [Formula: see text] of a nonlinear stochastic system is considered. The stability analysis is based on the [Formula: see text]-quadratic Lyapunov function technique. The local dynamics of the nonlinear system near manifold is described by the stochastic linear extension system. We propose a general notion of the projective stability (P-stability) and prove the following theorem. The smooth compact manifold [Formula: see text] is exponentially mean square stable if and only if the corresponding stochastic linear extension system is P-stable.


2001 ◽  
Vol 44 (2) ◽  
pp. 241-248 ◽  
Author(s):  
Narutaka Ozawa

AbstractWe present an example of a $C^*$-subalgebra $A$ of $\mathbb{B}(H)$ and a bounded linear map from $A$ to $\mathbb{B}(K)$ which does not admit any bounded linear extension. This generalizes the result of Robertson and gives the answer to a problem raised by Pisier. Using the same idea, we compute the exactness constants of some Q-spaces. This solves a problem raised by Oikhberg. We also construct a Q-space which is not locally reflexive.AMS 2000 Mathematics subject classification: Primary 46L05. Secondary 46L07


2011 ◽  
Vol 35 (4) ◽  
pp. 573-610 ◽  
Author(s):  
Adrien Boussicault ◽  
Valentin Féray ◽  
Alain Lascoux ◽  
Victor Reiner
Keyword(s):  

Symmetry ◽  
2019 ◽  
Vol 11 (9) ◽  
pp. 1107
Author(s):  
Javier Cuesta

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.


2002 ◽  
Vol 54 (2) ◽  
pp. 225-238 ◽  
Author(s):  
Bora Arslan ◽  
Alexander P. Goncharov ◽  
Mefharet Kocatepe

AbstractWe introduce the concept of logarithmic dimension of a compact set. In terms of this magnitude, the extension property and the diametral dimension of spaces Ɛ(K) can be described for Cantor-type compact sets.


2020 ◽  
Vol 811 ◽  
pp. 135970
Author(s):  
Fabio D'Ambrosio ◽  
Mudit Garg ◽  
Lavinia Heisenberg
Keyword(s):  

2020 ◽  
Vol 12 (2) ◽  
pp. 97-99
Author(s):  
Kimberly A. Sable ◽  
Eden Lake
Keyword(s):  

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