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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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Linear algebra and differential geometry on abstract Hilbert space
International Journal of Mathematics and Mathematical Sciences, 2005 Isomorphisms of separable Hilbert spaces are analogous to isomorphisms of n-dimensional vector spaces. However, while n-dimensional spaces in applications are always realized as the Euclidean space Rn, Hilbert spaces admit various useful realizations as ...
Alexey A. Kryukov
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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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Abstract and Applied Analysis, 2013 We studied the approximate split equality problem (ASEP) in the framework of infinite-dimensional Hilbert spaces. Let , , and be infinite-dimensional real Hilbert spaces, let and be two nonempty closed convex sets, and let and be two bounded ...
Rudong Chen, Junlei Li, Yijie Ren
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On Fuzzy Co-Pre-Hilbert Spaces
Journal of Kufa for Mathematics and Computer, 2013 This paper introduces the concepts fuzzy pre-Hilbert spaces and fuzzy co-pre-Hilbert spaces and proves some theorems in this subject.Â
Noori F. Al-Mayahi, Intisar H. Radhi
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One result on boundedness of the Hilbert transform in Marcinkiewics spaces
Вестник КазНУ. Серия математика, механика, информатика, 2022 In mathematics and in signal theory, the Hilbert transform is an important linear operator that takes a real-valued function and produces another real-valued function.
Nurken Tursynbayuly Bekbayev +1 more
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Application of symmetric analytic functions to spectra of linear operators
Karpatsʹkì Matematičnì Publìkacìï, 2021 The paper is devoted to extension of the theory of symmetric analytic functions on Banach sequence spaces to the spaces of nuclear and $p$-nuclear operators on the Hilbert space.
I. Burtnyak +4 more
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The Split Various Variational Inequalities Problems for Three Hilbert Spaces
Axioms, 2020 There are many methods for finding a common solution of a system of variational inequalities, a split equilibrium problem, and a hierarchical fixed-point problem in the setting of real Hilbert spaces. They proved the strong convergence theorem.
Chinda Chaichuay, Atid Kangtunyakarn
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Topological Transitivity of Shift Similar Operators on Nonseparable Hilbert Spaces
Journal of Function Spaces, 2021 In this paper, we investigate topological transitivity of operators on nonseparable Hilbert spaces which are similar to backward weighted shifts.
Andriy Zagorodnyuk, Zoriana Novosad
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Convexity and the Euclidean Metric of Space-Time
Universe, 2017 We address the reasons why the “Wick-rotated”, positive-definite, space-time metric obeys the Pythagorean theorem. An answer is proposed based on the convexity and smoothness properties of the functional spaces purporting to provide the kinematic ...
Nikolaos Kalogeropoulos
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