Results 11 to 20 of about 17,619 (155)
, 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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SISTEM ORTONORMAL DALAM RUANG HILBERT
Barekeng, 2014 Hilbert space is one of the important inventions in mathematics. Historically, the theory of Hilbert space originated from David Hilbert’s work on quadratic form in infinitely many variables with their applications to integral equations.
Zeth A. Leleury
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TEOREMA REPRESENTASI RIESZ–FRECHET PADA RUANG HILBERT
Barekeng, 2011 Hilbert space is a very important idea of the Davids Hilbert invention. In 1907, Riesz and Fréchet developed one of the theorem in Hilbert space called the Riesz-Fréchet representation theorem.
Mozart W. Talakua, Stenly J. Nanuru
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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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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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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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Communications in Mathematical Physics, 2000 The basic mathematical framework for super Hilbert spaces over a Grassmann algebra with a Grassmann number-valued inner product is formulated. Super Hilbert spaces over infinitely generated Grassmann algebras arise in the functional Schroedinger representation of spinor quantum field theory in a natural way.
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Hilbert spaces induced by Hilbert space valued functions [PDF]
Proceedings of the American Mathematical Society, 1983 Let E E be an arbitrary set and F ( E ) \mathcal {F}(E) a linear space composed of all complex valued functions on E E . Let H \mathcal {H} be a (possibly finite-dimensional) Hilbert space with inner product (
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The Characterization and Stability of g-Riesz Frames for Super Hilbert Space
Journal of Function Spaces, 2015 G-frames and g-Riesz frames as generalized frames in Hilbert spaces have been studied by many authors in recent years. The super Hilbert space has a certain advantage compared with the Hilbert space in the field of studying quantum mechanics.
Dingli Hua, Yongdong Huang
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Flows in Infinite-Dimensional Phase Space Equipped with a Finitely-Additive Invariant Measure
Mathematics, 2023 Finitely-additive measures invariant to the action of some groups on a separable infinitedimensional real Hilbert space are constructed. The invariantness of a measure is studied with respect to the group of shifts on a vector of Hilbert space, the ...
Vsevolod Zh. Sakbaev
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