Sub-stable and weak-stable manifolds associated with finitely non-resonant spectral subspaces

2001 ◽  
Vol 236 (4) ◽  
pp. 717-777 ◽  
Author(s):  
Mohamed S. ElBialy
Keyword(s):  
Stable Manifolds ◽  
Spectral Subspaces

scholarly journals Center-stable manifolds for differential equations with state-dependent delays

2009 ◽  
Vol 23 (3) ◽  
pp. 1009-1033 ◽  
Author(s):  
Redouane Qesmi ◽  
◽  
Hans-Otto Walther ◽  
Keyword(s):  
Differential Equations ◽  
Stable Manifolds ◽  
State Dependent

Smoothness of stable holonomies inside center-stable manifolds

2021 ◽  
pp. 1-26
Author(s):  
AARON BROWN
Keyword(s):  
Compact Manifolds ◽  
Stable Manifolds ◽  
Entropy Formula ◽  
Partially Hyperbolic

Abstract Under a suitable bunching condition, we establish that stable holonomies inside center-stable manifolds for $C^{1+\beta }$ diffeomorphisms are uniformly bi-Lipschitz and, in fact, $C^{1+\mathrm {H\ddot{o}lder}}$ . This verifies the ergodicity of suitably center-bunched, essentially accessible, partially hyperbolic $C^{1+\beta }$ diffeomorphisms and verifies that the Ledrappier–Young entropy formula holds for $C^{1+\beta }$ diffeomorphisms of compact manifolds.

scholarly journals A note on one-parameter groups of automorphisms

1990 ◽  
Vol 13 (1) ◽  
pp. 135-138
Author(s):  
A. B. Thaheem ◽  
Noor Mohammad
Keyword(s):  
Von Neumann Algebra ◽  
Short Proof ◽  
Central Projection ◽  
Von Neumann ◽  
Groups Of Automorphisms ◽  
Spectral Subspaces

Let{αt:t∈R}and{βt:t∈R}be two commuting one-parameter groups of∗-automorphisms of a von Neumann algebraMsuch thatαt+α−t=βt+β−tfor allt∈R. The purpose of this note is to provide a simple and short proof of the central decomposition result:αt=βtonMpand aαt=β−tonM(1−p)for a central projectionp∈M, without using the theory of spectral subspaces.

scholarly journals Stable manifolds of holomorphic diffeomorphisms

2002 ◽  
Vol 149 (2) ◽  
pp. 409-430 ◽  
Author(s):  
Mattias Jonsson ◽  
Dror Varolin
Keyword(s):  
Stable Manifolds

Stability of semigroups of operators and spectral subspaces

2002 ◽  
Vol 64 (3) ◽  
pp. 337-354 ◽  
Author(s):  
Ralph deLaubenfels ◽  
Vũ Quôc Phóng ◽  
Shengwang Wang
Keyword(s):  
Semigroups Of Operators ◽  
Spectral Subspaces
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