Results 11 to 20 of about 23,939 (257)

Singular Bilinear Integrals in Quantum Physics

open access: yesMathematics, 2015
Bilinear integrals of operator-valued functions with respect to spectral measures and integrals of scalar functions with respect to the product of two spectral measures arise in many problems in scattering theory and spectral analysis. Unfortunately, the
Brian Jefferies
doaj   +1 more source

Tensor product bases and tensor diagonals [PDF]

open access: yesTransactions of the American Mathematical Society, 1970
Let X and Y denote Banach spaces with bases (xi) and (yj), respectively, and let X 0@ Y and X 0., Y denote the completion in the e and 7r crossnorms of the algebraic tensor product X 0 Y. The purpose of this paper is to study the structure of the tensor product spaces X 0 Y and X 0,, Y through a consideration of the properties of the tensor product ...
openaire   +2 more sources

WOVEN FRAMES IN TENSOR PRODUCT OF HILBERT SPACES [PDF]

open access: yesJournal 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
doaj   +1 more source

Linearization of Lipschitz-polynomial and Lipschitz-analytic mappings

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2013
We introduce and study Lipschitz-analytic and Lipcshitz-polynomial functions, analogues of tensor and symmetric tensor products of metric spaces.
M. V. Dubei, A. V. Zagorodnyuk
doaj   +1 more source

Trace-Class and Nuclear Operators

open access: yesConcrete Operators, 2022
This paper explores the long journey from projective tensor products of a pair of Banach spaces, passing through the definition of nuclear operators still on the realm of projective tensor products, to the of notion of trace-class operators on a Hilbert ...
Kubrusly Carlos S.
doaj   +1 more source

Note on Arens regularity of symmetric tensor products

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2014
We investigate symmetric regularity of sums of symmetric tensor products of Banach spaces and Arens regularity of symmetric tensor products of Banach algebras. An example for the Hilbert space is obtained.
O.G. Taras, A.V. Zagorodnyuk
doaj   +1 more source

Projective tensor products of approximation spaces associated with positive operators

open access: yesResearches in Mathematics
In this paper the projective tensor products of approximation spaces associated with positive operators in Banach spaces are characterized. We show that the tensor products of approximation spaces can be considered as the interpolation spaces generated ...
M.I. Dmytryshyn, L.I. Dmytryshyn
doaj   +1 more source

Tensor products of abstract Besov spaces

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2013
We prove the interpolation theorem for tensor products of abstract Besov spaces, associated with closed operators in Banach spaces and show its application to the problems of approximations of elements of tensor products of Banach spaces.
M. I. Dmytryshyn
doaj   +1 more source

Products of parametric extensions: refined estimates

open access: yesJournal of Numerical Analysis and Approximation Theory
We present point wise estimates on approximation by bounded linear operators of real-valued continuous functions defined on the cartesian product of d compact intervals. The main purpose is to provide a unified theory to deal with pointwise estimates on
Heiner Gonska
doaj   +1 more source

Scalability of Tensor Products of Multiple Frames in Hilbert Spaces [PDF]

open access: yesSahand Communications in Mathematical Analysis
This paper studies the scalability of tensor products of several frames, which may come from different Hilbert spaces. Although the scalability of single frames and tensor products of two frames has been explored, the case with more than two frames has ...
Asghar Rahimi   +2 more
doaj   +1 more source

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