Results 51 to 60 of about 20,498 (195)
Imaginaries in Hilbert spaces [PDF]
Archive for Mathematical Logic, 2004 The paper is a contribution to the model theory of Hilbert spaces. The authors work in a ``big'' Hilbert space \(\mathcal H\) and consider it as a multi-sorted structure whose sorts are the balls \(\{v: \| v\| \leq n\}\), for \(n0}\), all \(\lambda_i\) are in \(\mathbb R\) or \(\mathbb C\) (depending of the ground field of \(\mathcal H\)), and all ...
Alexander Berenstein, Itay Ben-Yaacov
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Controlled Continuous ∗-K-g-Frames for Hilbert C∗-Modules
Abstract and Applied Analysis, 2021 Frame theory has a great revolution for recent years. This theory has been extended from Hilbert spaces to Hilbert C∗-modules. In this paper, we define and study the new concept of controlled continuous ∗-K-g-frames for Hilbert C∗-modules and we ...
Abdeslam Touri +3 more
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Branching Geodesics of the Gromov-Hausdorff Distance
Analysis and Geometry in Metric Spaces, 2022 In this paper, we first evaluate topological distributions of the sets of all doubling spaces, all uniformly disconnected spaces, and all uniformly perfect spaces in the space of all isometry classes of compact metric spaces equipped with the Gromov ...
Ishiki Yoshito
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Journal of Functional Analysis, 1989 On presente une theorie des pfaffiens relatifs sur un espace de Hilbert de dimension ...
Andrzej Lesniewski +2 more
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Frames in super Hilbert modules [PDF]
Sahand Communications in Mathematical Analysis, 2018 In this paper, we define super Hilbert module and investigate frames in this space. Super Hilbert modules are generalization of super Hilbert spaces in Hilbert C*-module setting.
Mehdi Rashidi-Kouchi
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Linking in Hilbert space [PDF]
Proceedings of the American Mathematical Society, 2005 We present the most general definition of the linking of sets in a Hilbert space and, drawing on the theory given in earlier papers by Schechter and Tintarev, give a necessary and sufficient geometric condition for linking when one set is compact.
Kyril Tintarev, Martin Schechter
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Some New Characterizations and g-Minimality and Stability of g-Bases in the Hilbert Spaces
Journal of Function Spaces and Applications, 2013 The concept of g-basis in the Hilbert spaces is introduced by Guo (2012) who generalizes the Schauder basis in the Hilbert spaces. g-basis plays the similar role in g-frame theory to that the Schauder basis plays in frame theory.
Xunxiang Guo
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Perturbation and Stability of Continuous Operator Frames in Hilbert C∗-Modules
Journal of Mathematics, 2021 Frame theory has a great revolution in recent years. This theory has been extended from the Hilbert spaces to Hilbert C∗-modules. In this paper, we consider the stability of continuous operator frame and continuous K-operator frames in Hilbert C∗-modules
Abdeslam Touri +3 more
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ON A GENERALIZATION OF THE HILBERT SPACE
Demonstratio Mathematica, 1989 We give a certain generalization of Hilbert space using for this purpose the properties of the Mikusiński space and the space normed by elements belonging to the cone of the Mikusiński space. We give some examples of generalized unitary spaces and Hilbert spaces and applications of these spaces in the Bittner operational calculus.
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Ergodic and fixed point theorems for sequences and nonlinear mappings in a Hilbert space
Demonstratio Mathematica, 2018 In this paper, we introduce the notion of 2-generalized hybrid sequences, extending the notion of nonexpansive and hybrid sequences introduced and studied in our previous work [Djafari Rouhani B., Ergodic theorems for nonexpansive sequences in Hilbert ...
Rouhani Behzad Djafari
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