Results 1 to 10 of about 210,506 (318)
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 (
Saburou Saitoh
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Hybrid proximal linearized algorithm for the split DC program in infinite-dimensional real Hilbert spaces [PDF]
Journal of Inequalities and Applications, 2018 To be the best of our knowledge, the convergence theorem for the DC program and split DC program are proposed in finite-dimensional real Hilbert spaces or Euclidean spaces.
Chih-Sheng Chuang, Pei-Jung Yang
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Woven Frames in Quaternionic Hilbert Spaces [PDF]
Journal of Mathematics, 2021 In this paper, we introduce and study woven frames in quaternionic Hilbert spaces. We also give some properties of woven frames and give some conditions on family of frames under which it is woven in quaternionic Hilbert spaces.
S. K. Sharma +2 more
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Introduction of Frame in Tensor Product of $n$-Hilbert Spaces [PDF]
Sahand Communications in Mathematical Analysis, 2021 We study the concept of frame in tensor product of $n$-Hilbert spaces as tensor product of $n$-Hilbert spaces is again an $n$-Hilbert space. We generalize some of the known results about bases to frames in this new Hilbert space.
Prasenjit Ghosh, Tapas Samanta
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Numerical radius inequalities for Hilbert $C^*$-modules [PDF]
Mathematica Bohemica, 2022 We present a new method for studying the numerical radius of bounded operators on Hilbert $C^*$-modules. Our method enables us to obtain some new results and generalize some known theorems for bounded operators on Hilbert spaces to bounded adjointable ...
Sadaf Fakri Moghaddam +1 more
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Some Properties of Operator Valued Frames in Quaternionic Hilbert Spaces
Mathematics, 2022 Quaternionic Hilbert spaces play an important role in applied physical sciences especially in quantum physics. In this paper, the operator valued frames on quaternionic Hilbert spaces are introduced and studied.
Guoqing Hong, Pengtong Li
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Some Properties of Reproducing Kernel Banach and Hilbert Spaces [PDF]
Sahand Communications in Mathematical Analysis, 2018 This paper is devoted to the study of reproducing kernel Hilbert spaces. We focus on multipliers of reproducing kernel Banach and Hilbert spaces. In particular, we try to extend this concept and prove some related theorems.
Saeed Hashemi Sababe, Ali Ebadian
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On locally Hilbert spaces [PDF]
Opuscula Mathematica, 2016 This is an investigation of some basic properties of strictly inductive limits of Hilbert spaces, called locally Hilbert spaces, with respect to their topological properties, the geometry of their subspaces, linear functionals and dual spaces.
Aurelian Gheondea
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On Spaces of Vector Functions that Are Holomorphic in an Angular Domain
Современная математика: Фундаментальные направления, 2022 In this paper, we study spaces of vector functions that are holomorphic in the angular domain of the complex plane and with values in a separable Hilbert space. We show that, equipped with the appropriate norms, these spaces are Hilbert spaces.
V. V. Vlasov, N. A. Rautian
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Frame-Related Sequences in Chains and Scales of Hilbert Spaces
Axioms, 2022 Frames for Hilbert spaces are interesting for mathematicians but also important for applications in, e.g., signal analysis and physics. In both mathematics and physics, it is natural to consider a full scale of spaces, and not only a single one.
Peter Balazs +2 more
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