Results 41 to 50 of about 450 (171)
On Solèr's characterization of Hilbert spaces
Manuscripta Mathematica, 1995 In her thesis [Commun. Algebra 23, No. 1, 219-243 (1995)], \textit{Maria Pia Solèr}, a student of the late H. Gross, proved that for every infinite dimensional hermitian space \((E, \langle\;\rangle)\) over a skew field \(K\) which is orthomodular, i.e. every subspace \(X\) of \(E\) satisfies \[ \text{if } X= (X^\perp )^\perp \quad \text{then} \quad E=
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A symmetric tensor norm extending the Hilbert-Schmidt norm to the class of Banach spaces
, 1994 We define a family of tensor norms that extend the Hilbert-Schmidt tensor norm to the class of Banach spaces. In particular, we obtain a symmetric tensor norm extending the Hilbert-Schmidt tensor norm.
Sánchez Pérez, E.A.
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A characterization of spectral operators on Hilbert spaces [PDF]
Glasgow Mathematical Journal, 1982 Let H be a complex Hilbert space and denote by B(H) the Banach algebra of all bounded linear operators on H. In [5; 6] J. Ph. Labrousse proved that every operator S∈B(H) which is spectral in the sense of N. Dunford (see [3]) is similar to a T∈B(H) with the following propertyConversely, he showed that given an operator S∈B(H) such that its essential ...
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How to get a conservative well-posed linear system out of thin air. Part II. Controllability and stability [PDF]
, 2003 Published ...
Weiss, G, Tucsnak, M
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Introduction to Continuous biframes in Hilbert spaces and their tensor products
, 2023 We introduce the notion of a continuous biframe in a Hilbert space which is a generalization of discrete biframe in Hilbert space. Representation theorem for this type of generalized frame is verified and some characterizations of this biframe with the ...
Samanta, T. K., Ghosh, Prasenjit
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Topics in orbifold geometry and Gorenstein homogeneous spaces [PDF]
I study two problems from different domains. The first problem is related to orbifold geometry and the second to Gorenstein homogeneous spaces. Though two different topics, they share a common theme: the Gorenstein property.
Hayat, Umar, (Researcher in mathematics)
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Hypocoercivity in Hilbert spaces
The concept of hypocoercivity for linear evolution equations with dissipation is discussed and equivalent characterizations that were developed for the finite-dimensional case are extended to separable Hilbert spaces.
Mehrmann, Volker +3 more
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Structural Properties of Weak Cotype 2 Spaces
, 1996 Several characterizations of weak cotype 2 and weak Hilbert spaces are given in terms of basis constants and other structural invariants of Banach spaces.
Piotr Mankiewicz +1 more
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Topological set theories and hyperuniverses [PDF]
, 2012 We give a new set theoretic system of axioms motivated by a topological intuition: The set of subsets of any set is a topology on that set. On the one hand, this system is a common weakening of Zermelo-Fraenkel set theory ZF, the positive set theory GPK ...
Fackler, Andreas
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Convex-transitive characterizations of Hilbert spaces [PDF]
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2009 We investigate real convex-transitive Banach spaces X, which admit a one-dimensional bicontractive projection P on X. Various mild conditions regarding the weak topology and the geometry of the norm are provided, which guarantee that such an X is in fact isometrically a Hilbert space.
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