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HILBERT SPACES

by Emil Ernst, Michel Théra, Emil Ernst, Michel Théra
"... ABSTRACT. We establish the following converse to the Eidelheit theorem: an unbounded closed and convex set of a real Hilbert space may be separated by a closed hyperplane from every other disjoint closed and convex set, if and only if it has a finite codimension and a nonempty interior with respect ..."
Abstract - Cited by 1 (0 self) - Add to MetaCart
ABSTRACT. We establish the following converse to the Eidelheit theorem: an unbounded closed and convex set of a real Hilbert space may be separated by a closed hyperplane from every other disjoint closed and convex set, if and only if it has a finite codimension and a nonempty interior with respect

in Hilbert space

by Yimin Wei A, Sanzheng Qiao B
"... inverse of a linear operator ..."
Abstract - Cited by 5 (0 self) - Add to MetaCart
inverse of a linear operator

Realization Theory in Hilbert Space

by Dietmar Salamon - MATHEMATICAL SYSTEMS THEORY , 1989
"... Abstract A representation theorem for infinite-dimensional, linear control systems is proved in the context of strongly continuous semigroups in Hilbert spaces. The result allows for unbounded input and output operators and is used to derive necessary and sufficient conditions for the realizability ..."
Abstract - Cited by 63 (0 self) - Add to MetaCart
Abstract A representation theorem for infinite-dimensional, linear control systems is proved in the context of strongly continuous semigroups in Hilbert spaces. The result allows for unbounded input and output operators and is used to derive necessary and sufficient conditions for the realizability

IMAGINARIES IN HILBERT SPACES

by Itay Ben-yaacov, Alexander Berenstein
"... Abstract. We characterise imaginaries (up to interdefinability) in Hilbert spaces using a Galois theory for compact unitary groups. ..."
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Abstract. We characterise imaginaries (up to interdefinability) in Hilbert spaces using a Galois theory for compact unitary groups.

Equilibrium programming in Hilbert spaces

by Patrick L. Combettes, Sever A. Hirstoaga - 2005), 117–136. CONVERGENCE THEOREMS FOR EP FIX 91
"... Several methods for solving systems of equilibrium problems in Hilbert spaces – and for find-ing best approximations thereof – are presented and their convergence properties are established. The proposed methods include proximal-like block-iterative algorithms for general systems, as well as regular ..."
Abstract - Cited by 64 (4 self) - Add to MetaCart
Several methods for solving systems of equilibrium problems in Hilbert spaces – and for find-ing best approximations thereof – are presented and their convergence properties are established. The proposed methods include proximal-like block-iterative algorithms for general systems, as well

Hilbert Space Extensions of Anosov

by Thomas Silverman, Stephen Michael Miller , 2013
"... We consider extensions of Anosov diffeomorphisms on infranilmani-folds with Hilbert space fibers and disprove a conjecture regarding condi-tions equivalent to transitivity of such extensions. 1 ..."
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We consider extensions of Anosov diffeomorphisms on infranilmani-folds with Hilbert space fibers and disprove a conjecture regarding condi-tions equivalent to transitivity of such extensions. 1

Convex inequalities in Hilbert space

by B. Mond, J. E. Pe•ari, Mi _< C _< Mi - Houston J. Math , 1993
"... ABSTRACT. Many inequalities involving real-valued convex functions can be found in the literature. Here we show how these inequalities lead to corresponding results for self-adjoint operators in Hilbert space. ..."
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ABSTRACT. Many inequalities involving real-valued convex functions can be found in the literature. Here we show how these inequalities lead to corresponding results for self-adjoint operators in Hilbert space.

Proof-nets and the Hilbert space

by V. Danos, L. Regnier - Advances in Linear Logic , 1995
"... Girard's execution formula (given in [Gir88a]) is a decomposition of usual fi-reduction (or cut-elimination) in reversible, local and asynchronous elementary moves. It can easily be presented, when applied to a -term or a net, as the sum of maximal paths on the -term/net that are not cancelled ..."
Abstract - Cited by 68 (3 self) - Add to MetaCart
the interpretation of -terms/nets as operators on the Hilbert space. 1 Presentation -Calculus is simple but not completely convincing as a real machine-language. Real machine instructions have a fixed run-time; a fi-reduction step does not. Some implementations do map fi-reductions into sequences of real

Broken tubes in Hilbert spaces

by Jussi Väisälä - Analysis
"... Abstract. A broken tube is a special kind of a domain in an infinite-dimensional separable Hilbert space, and it has several properties which do not occur in a finitedimensional space. 1 ..."
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Abstract. A broken tube is a special kind of a domain in an infinite-dimensional separable Hilbert space, and it has several properties which do not occur in a finitedimensional space. 1

The Operator Hilbert Space OH . . .

by Gilles Pisier , 2003
"... We prove that the operator Hilbert space OH does not embed completely isomorphically into the predual of a semi-finite von Neumann algebra. This complements Junge’s recent result that it admits such an embedding in the non semi-finite case. ..."
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We prove that the operator Hilbert space OH does not embed completely isomorphically into the predual of a semi-finite von Neumann algebra. This complements Junge’s recent result that it admits such an embedding in the non semi-finite case.
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