Results 1 to 10 of about 62,273 (187)
Generalized Fusion Frame in A Tensor Product of Hilbert Space [PDF]
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.
P. Ghosh, T. Samanta
semanticscholar +6 more sources
Introduction of frame in tensor product of n-Hilbert spaces [PDF]
We study the concept of frame in tensor product of n-Hilbert spaces as tensor product of n-Hilbert spaces is again a n-Hilbert space. We generalize some of the known results about bases to frames in this new Hilbert space.
P. Ghosh, T. Samanta
semanticscholar +8 more sources
Continuous frames in n-Hilbert spaces and their tensor products [PDF]
We introduce the notion of continuous frame in n-Hilbert space which is a generalization of discrete frame in n-Hilbert space. The tensor product of Hilbert spaces is a very important topic in mathematics. Here we also introduce the concept of continuous
P. Ghosh, T. Samanta
semanticscholar +8 more sources
Frames and bases in tensor products of Hilbert spaces and Hilbert C*-modules [PDF]
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 (orthonormal bases) for ...
A. Khosravi, B. Khosravi
semanticscholar +8 more sources
Fusion frame and its alternative dual in tensor product of Hilbert spaces [PDF]
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.\,An alternative dual of a fusion frame in tensor product of ...
P. Ghosh, T. Samanta
semanticscholar +6 more sources
ON CLUSTER SYSTEMS OF TENSOR PRODUCT SYSTEMS OF HILBERT SPACES [PDF]
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.
Mithun Mukherjee
semanticscholar +9 more sources
Controlled frames in n-Hilbert spaces and their tensor products [PDF]
The 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 ...
P. Ghosh, T. Samanta
semanticscholar +5 more sources
Tensor Product of 2-Frames in 2-Hilbert Spaces
2-frames in 2-Hilbert spaces are studied and some results on it are presented. The tensor product of 2-frames in 2-Hilbert spaces is introduced. It is shown that the tensor product of two 2-frames is a 2-frame for the tensor product of Hilbert spaces ...
G. Reddy
semanticscholar +5 more sources
Atomic systems in n-Hilbert spaces and their tensor products
17 pages.
Prasenjit Ghosh, T. K. Samanta
core +5 more sources
We study linear problems defined on tensor products of Hilbert spaces with an additional (anti-) symmetry property. We construct a linear algorithm that uses finitely many continuous linear functionals and show an explicit formula for its worst case error in terms of the singular values of the univariate problem.
Markus Weimar
semanticscholar +5 more sources