Results 11 to 20 of about 62,273 (187)
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, respectively.
N. Altwaijry +3 more
semanticscholar +4 more sources
Tractability of Tensor Product Linear Operators in Weighted Hilbert Spaces [PDF]
gmj, 2001 Abstract We study tractability in the worst case setting of tensor product linear operators defined over weighted tensor product Hilbert spaces. Tractability means that the minimal number of evaluations needed to reduce the initial error by a factor of ε in the d-dimensional case has a polynomial bound in both ε –1 and ...
H. Wozniakowski
semanticscholar +5 more sources
Continuous tensor products of Hilbert spaces and product operators [PDF]
Studia Mathematica, 1971 K. Napiórkowski
semanticscholar +5 more sources
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’
openalex +4 more sources
WSEAS Transactions on Mathematics, 2020 The paper describes the results of a functional-geometric study of the necessary and sufficient conditions for the existence of a differential realization in the terms of the tensor product of real Hilbert spaces. There are considered continuous infinite-
A. Daneev, A. Lakeyev, V. Rusanov
semanticscholar +2 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.
David Pérez-Garcı́a +1 more
openalex +5 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.
S. Jahanshahi, A. Ahmadi
semanticscholar +3 more sources
INVERTIBILITY AND SPECTRA OF OPERATORS ON TENSOR PRODUCTS OF HILBERT SPACES This research was supported by the Kamea Fund. [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’
openalex +4 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 =
Zoia Ceauşescu, Florian-Horia Vasilescu
openalex +4 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, Peter Vieira
openalex +2 more sources