Results 11 to 20 of about 210,506 (318)
Rigged Hilbert spaces and contractive families of Hilbert spaces [PDF]
Monatshefte für Mathematik, 2010 15 pages.
BELLOMONTE, Giorgia, TRAPANI, Camillo
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Engineering and Technology Journal, 2010 we introduce the definition of afuzzy inner product space and discuss someproperties of this space,and we use the definition of fuzzy inner product space tointroduced anew definitions such that the definition of fuzzy Hilbert space ,Fuzzyconvergence ...
Jehad R.Kider, Ragahad Ibrahaim Sabre
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Generalized Cauchy–Schwarz Inequalities and A-Numerical Radius Applications
Axioms, 2023 The purpose of this research paper is to introduce new Cauchy–Schwarz inequalities that are valid in semi-Hilbert spaces, which are generalizations of Hilbert spaces.
Najla Altwaijry +2 more
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, 2022 Abstract Chapter 8 continues the study of Hilbert spaces that was started with the discussion about the topic presented in Chapter 1. It begins by introducing and explaining the central notions that surround orthonormal sets and orthonormal bases, and continues with describing aspects of projections.
Shmuel Kantorovitz, Ami Viselter
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Approximation of the Hilbert transform in the Lebesgue spaces
Journal of Numerical Analysis and Approximation Theory, 2023 The Hilbert transform plays an important role in the theory and practice of signal processing operations in continuous system theory because of its relevance to such problems as envelope detection and demodulation, as well as its use in relating the ...
Rashid Aliev, Lale Alizade
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Quasi-inner product spaces of quasi-Sobolev spaces and their completeness
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2018 Sequences spaces , m , p have called quasi-Sobolev spaces were introduced by Jawad . K. Al-Delfi in 2013 [1]. In this paper , we deal with notion of quasi-inner product space by using concept of quasi-normed space which is ...
Jawad Kadhim Khalaf Al-Delfi
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Symmetry Representations in the Rigged Hilbert Space Formulation of Quantum Mechanics [PDF]
, 2002 We discuss some basic properties of Lie group representations in rigged Hilbert spaces. In particular, we show that a differentiable representation in a rigged Hilbert space may be obtained as the projective limit of a family of continuous ...
A Bohm +22 more
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Australian & New Zealand Journal of Statistics, 2014 SummaryA Bayes linear space is a linear space of equivalence classes of proportional σ‐finite measures, including probability measures. Measures are identified with their density functions. Addition is given by Bayes' rule and substraction by Radon–Nikodym derivatives. The present contribution shows the subspace of square‐log‐integrable densities to be
Boogaart, K. G. +2 more
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On quaternionic functional analysis [PDF]
, 2006 In this article, we will show that the category of quaternion vector spaces, the category of (both one-sided and two sided) quaternion Hilbert spaces and the category of quaternion $B^*$-algebras are equivalent to the category of real vector spaces, the ...
Agrawal +17 more
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Journal of Functional Analysis, 2003 A Banach space \(X\) is called \(\mathcal P\)-generated (where \(\mathcal P\) is a property of Banach spaces) if there is a Banach space \(Y\) with property \(\mathcal P\) and a continuous linear operator from \(Y\) into \(X\) with dense range. \textit{M. Fabian}, \textit{G. Godefroy} and \textit{V. Zizler} [Isr. J. Math.
Fabian, M. +3 more
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