Results 11 to 20 of about 60,391 (204)
Generalized Fusion Frame in A Tensor Product of Hilbert Space [PDF]
The Journal of the Indian Mathematical Society, 2022 Generalized fusion frames and some of their properties in a tensor product of Hilbert spaces are studied. Also, the canonical dual g-fusion frame in a tensor product of Hilbert spaces is considered. The frame operator for a pair of g-fusion Bessel sequences in a tensor product of Hilbert spaces is presented.
Prasenjit Ghosh, T. K. Samanta
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On cluster systems of tensor product systems of Hilbert spaces [PDF]
Annals of Functional Analysis, 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
Mithun Mukherjee
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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.
Michael I. Gil’
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Controlled Frames in n-Hilbert Spaces and Their Tensor Products [PDF]
Izvestiya Vysshikh Uchebnykh Zavedenii. MatematikaThe concepts of controlled frame and its dual in n-Hilbert space have been introduced and then some of their properties are going to be discussed. Also, we study controlled frame in tensor product of n-Hilbert spaces and establish a relationship between controlled frame and bounded linear operator in tensor product of n-Hilbert spaces.
Prasenjit Ghosh, T. K. Samanta
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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 =
Zoia Ceauşescu, Florian-Horia Vasilescu
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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, Peter Vieira
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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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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.
Bojan Magajna
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Introduction to Continuous biframes in Hilbert spaces and their tensor products
, 2023 24 pages.
Prasenjit Ghosh, T. K. Samanta
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