Some results in the general theory of Banach spaces

1991 ◽  
pp. 49-72
Keyword(s):  
General Theory ◽  
Banach Spaces

Some Results from the General Theory of Banach Spaces

1997 ◽  
pp. 71-86
Author(s):  
Mikhail I. Kadets ◽  
Vladimir M. Kadets
Keyword(s):  
General Theory ◽  
Banach Spaces

CONTRACTIONS OF LIE ALGEBRA REPRESENTATIONS

1999 ◽  
Vol 11 (10) ◽  
pp. 1179-1207 ◽  
Author(s):  
U. CATTANEO ◽  
W. F. WRESZINSKI
Keyword(s):  
General Theory ◽  
Banach Spaces ◽  
Lie Algebra ◽  
Hilbert Spaces ◽  
3 Dimensional ◽  
Algebra Representation ◽  
Carrier Space ◽  
Definition Of ◽  
Lie Algebra Representations ◽  
Main Distinguishing Feature

A theory of contractions of Lie algebra representations on complex Hilbert spaces is proposed, based on Trotter's theory of approximating sequences of Banach spaces. Its main distinguishing feature is a careful definition of the carrier space of the limit Lie algebra representation. A set of quite general conditions on the contracting representations, satisfied in all known examples, is proven to be sufficient for the existence of such a representation. In order to show how natural the suggested framework is, the general theory is applied to the contraction of [Formula: see text] into the Lie algebra [Formula: see text] of the 3-dimensional Heisenberg group and to the related study of the limit N→∞ of a quantum system of N identical two-level particles.

scholarly journals Théorie générale d’équation de type hyperbolique-parabolique non linéaire

2008 ◽  
Vol Volume 9, 2007 Conference in... ◽  
Author(s):  
Hamidou Touré
Keyword(s):  
Weak Solution ◽  
Group Theory ◽  
General Theory ◽  
Banach Spaces ◽  
Mild Solution ◽  
Existence Of Solutions ◽  
Parabolic Type ◽  
Semi Group ◽  
Nous Montrons ◽  
International Audience

International audience We develop general theory for degenerate hyperbolic-parabolic type problems using semi-group theory in Banach spaces. We establish existence, uniqness results and continuous dependance with respects to data for mild solution. Similar results are developped for weak solution of entropy type, and existence of solutions are studied. Nous développons une théorie générale pour des équations d’évolution de type hyperbolique parabolique non linéaire à l’aide de la théorie des semi-groupes non linéaires dans les espaces de Banach. Nous établissons des résultats d’existence, d’unicité et de dépendance continue par rapport aux données d’une bonne solution du problème de Cauchy ou des problèmes aux limites associées à cette équation sous des hypothèses très générales. Avec des hypothèses complémentaires, nous montrons que cette bonne solution est une solution locale de type entropique, nous étudions également l’unicité des solutions faibles et l’existence de solution forte.

scholarly journals Inductive and projective limits of smooth topological vector spaces

1972 ◽  
Vol 6 (2) ◽  
pp. 227-240 ◽  
Author(s):  
John W. Lloyd ◽  
S. Yamamuro
Keyword(s):  
General Theory ◽  
Banach Spaces ◽  
Vector Spaces ◽  
Topological Vector Spaces ◽  
Inductive And Projective Limits ◽  
Nuclear Spaces ◽  
Projective Limits ◽  
The Relationship

In J. Math. Mech. 15 (1966), 877–898, Bonic and Frampton have laid the foundation for a general theory of smoothness of Banach spaces. In this paper, we shall study one aspect of the smoothness of topological vector spaces, namely, the relationship between smoothness and inductive and protective limits of topological vector spaces. As a consequence, we obtain smoothness results for nuclear spaces and some Montei spaces.

Extreme self-sacrifice beyond fusion: Moral expansiveness and the special case of allyship

2018 ◽  
Vol 41 ◽  
Author(s):  
Daniel Crimston ◽  
Matthew J. Hornsey
Keyword(s):  
General Theory ◽  
Biological Markers ◽  
Natural Environment ◽  
Relevant Dimension ◽  
Special Case

AbstractAs a general theory of extreme self-sacrifice, Whitehouse's article misses one relevant dimension: people's willingness to fight and die in support of entities not bound by biological markers or ancestral kinship (allyship). We discuss research on moral expansiveness, which highlights individuals’ capacity to self-sacrifice for targets that lie outside traditional in-group markers, including racial out-groups, animals, and the natural environment.

Fredholm Theory in Banach Spaces

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

Review of A General Theory of Crime.

1992 ◽  
Vol 37 (11) ◽  
pp. 1225-1225
Author(s):  
No authorship indicated
Keyword(s):  
General Theory ◽  
General Theory Of Crime ◽  
Theory Of Crime
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