Results 1 to 10 of about 4,790,611 (321)
Axioms for the category of Hilbert spaces. [PDF]
Proc Natl Acad Sci U S A, 2022 Significance Hilbert spaces and their operators are the mathematical foundation of quantum mechanics. The problem of reconstructing this foundation from first principles has been open for nearly a century.
Heunen C, Kornell A.
europepmc +3 more sources
Approximating fixed points of enriched nonexpansive mappings by Krasnoselskij iteration in Hilbert spaces [PDF]
Carpathian Journal of Mathematics, 2019 Using the technique of enrichment of contractive type mappings by Krasnoselskij averaging, presented here for the first time, we introduce and study the class of enriched nonexpansive mappings in Hilbert spaces.
V. Berinde
semanticscholar +3 more sources
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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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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Quantum Machine Learning in Feature Hilbert Spaces. [PDF]
Physical Review Letters, 2018 A basic idea of quantum computing is surprisingly similar to that of kernel methods in machine learning, namely, to efficiently perform computations in an intractably large Hilbert space.
M. Schuld, N. Killoran
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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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Some results on frames by pre-frame operators in Q-Hilbert spaces
AIMS Mathematics, 2023 Quaternionic Hilbert (Q-Hilbert) spaces are frequently used in applied physical sciences and especially in quantum physics. In order to solve some problems of many nonlinear physical systems, the frame theory of Q-Hilbert spaces was studied.
Yan Ling Fu , Wei Zhang
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