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
Keyword(s):  
Linear Extension ◽  
Whitney Functions

EXPONENTIAL MEAN SQUARE STABILITY OF STOCHASTICALLY FORCED INVARIANT MANIFOLDS FOR NONLINEAR SDEs

2007 ◽  
Vol 07 (03) ◽  
pp. 389-401 ◽  
Author(s):  
L. B. RYASHKO
Keyword(s):  
Linear Extension ◽  
Invariant Manifolds ◽  
Function Technique ◽  
Nonlinear Stochastic System ◽  
General Notion ◽  
Mean Square ◽  
Extension System ◽  
Mean Square Stability ◽  
The Stability ◽  
Exponential Mean Square Stability

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.

scholarly journals A NON-EXTENDABLE BOUNDED LINEAR MAP BETWEEN C*-ALGEBRAS

2001 ◽  
Vol 44 (2) ◽  
pp. 241-248 ◽  
Author(s):  
Narutaka Ozawa
Keyword(s):  
Linear Extension ◽  
Subject Classification ◽  
Primary 46L05 ◽  
Bounded Linear ◽  
Linear Map ◽  
C Algebras ◽  
Secondary 46L07

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

scholarly journals Linear extension sums as valuations on cones

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

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 Spaces of Whitney Functions on Cantor-Type Sets

2002 ◽  
Vol 54 (2) ◽  
pp. 225-238 ◽  
Author(s):  
Bora Arslan ◽  
Alexander P. Goncharov ◽  
Mefharet Kocatepe
Keyword(s):  
Extension Property ◽  
Compact Set ◽  
Compact Sets ◽  
Whitney Functions ◽  
Type Sets

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.

scholarly journals Non-linear extension of non-metricity scalar for MOND

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

Hyperpigmented Patch With Linear Extension

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