Results 1 to 10 of about 62,388 (221)
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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WOVEN FRAMES IN TENSOR PRODUCT OF HILBERT SPACES [PDF]
Journal of Algebraic Systems, 2020 The tensor product is the fundemental ingredient for extending one-dimensional techniques of filtering and compression in signal preprocessing to higher dimensions.
S. Afshar Jahanshahi, A. Ahmadi
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Generalized fusion frame in tensor product of Hilbert spaces [PDF]
The Journal of the Indian Mathematical Society, 2021 Generalized fusion frame and some of their properties in tensor product of Hilbert spaces are described. Also, the canonical dual g-fusion frame in tensor product of Hilbert spaces is considered.
Prasenjit Ghosh, T. K. Samanta
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Frames and bases in tensor products of Hilbert spaces and Hilbert C*-modules [PDF]
Proceedings Mathematical Sciences, 2007 In this article, we study tensor product of Hilbert $C^*$-modules and Hilbert spaces. We show that if $E$ is a Hilbert $A$-module and $F$ is a Hilbert $B$-module, then tensor product of frames (orthonormal bases) for $E$ and $F$ produce frames ...
Amir Khosravi, Behrooz Khosravi
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Fusion frame and its alternative dual in tensor product of Hilbert spaces [PDF]
Creative Mathematics and Informatics, 2021 We study fusion frame in tensor product of Hilbert spaces and discuss some of its properties. The resolution of the identity operator on a tensor product of Hilbert spaces is being discussed.
Prasenjit Ghosh, T. K. Samanta
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Numerical range of tensor product of operators in semi-Hilbert spaces
Kuwait Journal of ScienceLet A and B be two positive bounded linear operators acting on the complex Hilbert spaces H and K, respectively. In this paper, we study the (A⊗B)-numerical range WA⊗B(T⊗S) of the tensor product T⊗S for two bounded linear operators T and S on H and K ...
Najla Altwaijry +3 more
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Unconditional bases in tensor products of Hilbert spaces [PDF]
MATHEMATICA SCANDINAVICA, 2005 We prove that a tensor norm $\alpha$ (defined on tensor products of Hilbert spaces) is the Hilbert-Schmidt norm if and only if $\ell_2\otimes\cdots\otimes \ell_2$, endowed with the norm $\alpha$, has an unconditional basis. This extends a classical result of Kwapień and Pełczyński.
David Pérez-Garcı́a +1 more
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Spectrum perturbations of operators on tensor products of Hilbert spaces [PDF]
Kyoto Journal of Mathematics, 2003 In the paper, bounds for the resolvent and for the spectrum of a class of linear operators on tensor products of separable Hilbert spaces are established. Applications to partial integral operators and to integro-differential operators are also given. In Section 2, some estimates of \(\| (W_1+W_2)^n\| _H\) are derived, where \(W_1\) and \(W_2\) denote ...
Michael I. Gil’
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INVERTIBILITY AND SPECTRA OF OPERATORS ON TENSOR PRODUCTS OF HILBERT SPACES [PDF]
Glasgow Mathematical Journal, 2004 Let \(E_1\) with inner product \(\langle. \mid. \rangle_1\) and norm \(\|.\|_1\) and \(E_2\) with inner product \(\langle.\mid. \rangle_2\) and norm \(\|.\|_2\) be separable Hilbert spaces, and let \(H=E_1 \otimes E_2\) be the tensor product of \(E_1,E_2\) with inner product \(\langle .
Michael I. Gil’
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The tensor product of p-adic Hilbert spaces [PDF]
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Paolo Aniello +3 more
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