Results 21 to 30 of about 2,691,692 (116)

Controlled frames in n-Hilbert spaces and their tensor products

Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika
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 controlled frame and bounded linear operator in tensor product of n-Hilbert spaces.
Ghosh, Prasenjit, Samanta, T. K.
openaire   +2 more sources

Atomic systems in n-Hilbert spaces and their tensor products

, 2021
17 pages.
Ghosh, Prasenjit, Samanta, T. K.
openaire   +2 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 ...
Henryk Woźniakowski, Henryk Woźniakowski   +1 more
openaire   +2 more sources

On the minimal Sums of sequences in the tensor product of separable Hilbert spaces

, 2022
It is known that the tensor product of two sequences, in the tensor product of two separable Hilbert spaces, is a frame if and only if each component of that product is a frame. This paper proposes a sort of generalization of the aforementioned result by dealing with sequences S that are finite minimal sums of tensor products of a finite number of ...
Bourouihiya, Abdelkrim, Kabbaj, Samir
openaire   +2 more sources

Tensor Products of Hilbert Spaces

, 2023
Given a finite or countably infinite family of Hilbert spaces \((H_j)_{j\in N} \), we study the Hilbert space tensor product \(\bigotimes_{j\in N} H_j\). In the general case, these tensor products were introduced by John von Neumann. We are especially interested in the case where each Hilbert space \(H_j\) is given as a reproducing kernel Hilbert space,
openaire  

Proof of the Impossibility of Non-Contextual Hidden Variables in All Hilbert Space Dimensions [PDF]

arXiv, 1994
It is shown that the algebraic structure of finite Heisenberg groups associated with the tensor product of two Hilbert spaces leads to a simple demonstration valid in all Hilbert space dimensions of the impossibility of non-contextual hidden variables.
arxiv  

Random Sets and Invariants for (Type II) Continuous Tensor Product Systems of Hilbert Spaces [PDF]

arXiv, 2003
In a series of papers Tsirelson constructed from measure types of random sets and generalised random processes a new range of examples for continuous tensor product systems of Hilbert spaces introduced by Arveson for classifying $E_0$-semigroups. This paper establishes the converse: Each continuous tensor product systems of Hilbert spaces comes with ...
arxiv  

Dunford–Pettis properties, Hilbert spaces and projective tensor products

Journal of Functional Analysis, 2007
AbstractWe study complete continuity properties of operators onto ℓ2 and prove several results in the Dunford–Pettis theory of JB∗-triples and their projective tensor products, culminating in characterisations of the alternative Dunford–Pettis property for E⊗ˆπF where E and F are JB∗-triples.
L. J. Bunce, Antonio M. Peralta
openaire   +2 more sources

The Matrix Hilbert Space and Its Application to Matrix Learning [PDF]

arXiv, 2017
Theoretical studies have proven that the Hilbert space has remarkable performance in many fields of applications. Frames in tensor product of Hilbert spaces were introduced to generalize the inner product to high-order tensors. However, these techniques require tensor decomposition which could lead to the loss of information and it is a NP-hard problem
arxiv  

Self-duality for the Haagerup tensor product and Hilbert space factorizations

Journal of Functional Analysis, 1991
AbstractD. Blecher and V. Paulsen showed that the Haagerup tensor product V ⊗h W for operator spaces V and W preserves inclusions. It is proved to also preserve complete quotient maps, and to be self-dual in the sense that it induces the Haagerup norm on the algebraic tensor product V∗ ⊗ W∗. The full operator dual space (V ⊗h W)∗ is computed.
Zhong Jin Ruan, Edward G. Effros
openaire   +2 more sources