Results 31 to 40 of about 2,691,692 (116)

Super Operator Systems, Strong Norms, and Operator Tensor Products [PDF]

arXiv, 2012
A notion of super operator system is defined which generalizes the usual notion of operator systems to include certain unital involutive operator spaces which cannot be represented completely isometric as a concrete operator system on some Hilbert space.
arxiv  

Structures on the way from classical to quantum spaces and their tensor products [PDF]

arXiv, 2017
We study tensor products of two structures situated, in a sense, between normed spaces and (abstract) operator spaces. We call them Lambert and proto-Lambert spaces and pay more attention to the latter ones. The considered two tensor products lead to essentially different norms in the respective spaces.
arxiv  

Kantorovich Type Integral Inequalities for Tensor Product of Continuous Fields of Hilbert Space Operators [PDF]

arXiv, 2015
This paper presents a number of Kantorovich type integral inequalities involving tensor products of continuous fields of bounded linear operators on a Hilbert space. Kantorovich type inequality in which the product is replaced by an operator mean is also considered. Such inequalities include discrete inequalities as special cases.
arxiv  

Estimates for resolvents and functions of operator pencils on tensor products of Hilbert spaces [PDF]

Kyoto Journal of Mathematics, 2011
Let $H=X\otimes Y$ be a tensor product of separable Hilbert spaces $X$ and $Y$ . We establish norm estimates for the resolvent and operator-valued functions of the operator $A=\sum_{k=0}^{m}B_{k}\otimes S^{k}$ , where $B_{k}$ $(k=0,\ldots,m)$ are bounded operators acting in $Y$ , and $S$ is a self-adjoint operator acting in $X$ .
openaire   +2 more sources

Existence of a Bilinear Differential Realization in the Constructions of Tensor Product of Hilbert Spaces

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-dimensional dynamical system in the class of controlled bilinear nonstationary ordinary ...
Vyacheslav Rusanov, Anatoliy Lakeyev, Aleksey Daneev   +2 more
openaire   +1 more source

From slightly coloured noises to unitless product systems [PDF]

arXiv, 2000
Stationary Gaussian generalized random processes having slowly decreasing spectral densities give rise to product systems in the sense of William Arveson (basically, continuous tensor product systems of Hilbert spaces). A continuum of nonisomorphic unitless product systems is produced, answering a question of Arveson.
arxiv  

Tensor Product of 2-Frames in 2-Hilbert Spaces

Advances in Pure Mathematics, 2016
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. Some results on tensor product of 2-frames are established.
openaire   +3 more sources

The Heston stochastic volatility model in Hilbert space [PDF]

arXiv, 2017
We extend the Heston stochastic volatility model to a Hilbert space framework. The tensor Heston stochastic variance process is defined as a tensor product of a Hilbert-valued Ornstein-Uhlenbeck process with itself. The volatility process is then defined by a Cholesky decomposition of the variance process.
arxiv  

Constructions of bi-g-fusion frame in Hilbert space [PDF]

arXiv
The concept of a bi-g-fusion frame for a Hilbert space, which is a generalizations of a controlled g-fusion frame, is introduced and an example is given. Finally, bi-g-fusion frame in tensor product of Hilbert spaces is considered.
arxiv  

On spectral asymptotics of the tensor product of operators with almost regular marginal asymptotics [PDF]

arXiv, 2018
Spectral asymptotics of a tensor product of compact operators in Hilbert space with known marginal asymptotics is studied. Methods of A. Karol', A. Nazarov and Ya. Nikitin (Trans. AMS, 2008) are generalized for operators with almost regular marginal asymptotics. In many (but not all) cases it is shown, that tensor product has almost regular asymptotics
arxiv