Results 11 to 20 of about 2,691,692 (116)
Frames and Bases in Tensor Product of Hilbert Spaces [PDF]
Intern. Math. Journal, Vol. 4, 2003, no. 6, 527 - 537, 2012 In this article we develop a theory for frames in tensor product of Hilbert spaces. We show that like bases if Y_1, Y_2, \cdot \cdot \cdot, Y_n are frames for H_1,H_2, \cdot \cdot \cdot, H_n, respectively, then Y_1\otimesY_2\otimes...\otimesY_n is a frame for H_\otimes1H_2\otimes \cdot \cdot \cdot \otimesH_n.
Khosravi, Amir, Asgari, Mohammad Sadegh
arxiv +3 more sources
Operator Isomorphisms on Hilbert Space Tensor Products [PDF]
arXiv, 2020 This article presents an isomorphism between two operator algebras $L_1$ and $L_2$ where $L_1$ is the set of operators on a space of Hilbert-Schmidt operators and $L_2$ is the set of operators on a tensor product space. We next compare our isomorphism to a well-known result called Choi's isomorphism theorem.
arxiv +3 more sources
On cluster systems of tensor product systems of Hilbert spaces [PDF]
arXiv, 2015 It is known that the spatial product of two product systems is intrinsic. Here we extend this result by analyzing subsystems of the tensor product of product systems. A relation with cluster systems is established. In a special case, we show that the amalgamated product of product systems through strictly contractive units is independent of the choices
arxiv +6 more sources
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.
Villanueva Díez, Ignacio +1 more
openaire +4 more sources
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. Woven frames play a crucial role in signal preprocessing and distributed data processing.
A. Ahmadi, S. Afshar Jahanshahi
openaire +2 more sources
Tensor Products and the Joint Spectrum in Hilbert Spaces [PDF]
Proceedings of the American Mathematical Society, 1978 Given two complex Hilbert spaces X and Y and two commuting systems of linear continuous operators a = ( a 1 , … , a n ) a = ({a_1}, \ldots ,{a_n}) on X and b =
F.-H. Vasilescu, Zoia Ceauşescu
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Hilbert modules and tensor products of operator spaces [PDF]
Banach Center Publications, 1997 The classical identification of the predual of B(H) (the algebra of all bounded operators on a Hilbert space H) with the projective operator space tensor product H⊗H is extended to the context of Hilbert modules over commutative von Neumann algebras.
openaire +2 more sources
Convergence and Decomposition for Tensor Products of Hilbert Space Operators [PDF]
Operators and Matrices, 2008 It is shown that convergence of sequences of Hilbert space operators is preserved by tensor product and the converse holds in case of convergence to zero under the semigroup assumption. In particular, unlike ordinary product of operators, weak convergence is preserved by tensor product.
Carlos S. Kubrusly, P. C. M. Vieira
openaire +1 more source
On embeddings of weighted tensor product Hilbert spaces
Journal of Complexity, 2015 We study embeddings between tensor products of weighted reproducing kernel Hilbert spaces. The setting is based on a sequence of weights γ j 0 and sequences 1 + γ j k and 1 + l γ j of reproducing kernels k such that H ( 1 + γ j k ) = H ( 1 + l γ j ) , in particular. We derive necessary and sufficient conditions for the norms on ? j = 1 s H ( 1 + γ j k )
Klaus Ritter, Mario Hefter
openaire +2 more sources
Spectrum perturbations of operators on tensor products of Hilbert spaces [PDF]
Kyoto Journal of Mathematics, 2003 We investigate the spectrum perturbations and spectrum localization of a class of operators on a tensor product of separable Hilbert spaces. In particular, estimates for the spectral radius and norm of the resolvent are derived. Applications to partial integral and integrodifferential operators are also discussed.
openaire +2 more sources