Controlled generalized fusion frame in the tensor product of Hilbert spaces
We present controlled by operators generalized fusion frame in the tensor product of Hilbert spaces and discuss some of its properties. We also describe the frame operator for a pair of controlled $g$-fusion Bessel sequences in the tensor product of ...
P. Ghosh, T. Samanta
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Continuous frames in tensor product Hilbert spaces, localization operators and density operators [PDF]
Continuous frames and tensor products are important topics in theoretical physics. This paper combines those concepts. We derive fundamental properties of continuous frames for tensor product of Hilbert spaces. This includes, for example, the consistency
Péter Balázs, N. Teofanov
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Random Sets and Invariants for (Type II) Continuous Tensor Product Systems of Hilbert Spaces [PDF]
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.
V. Liebscher
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Hilbert modules and tensor products of operator spaces [PDF]
The classical identification of the predual of B(H) (the algebra of all bounded operators on a Hilbert space H) with the projective operator space tensor product H⊗H is extended to the context of Hilbert modules over commutative von Neumann algebras.
Bojan Magajna
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Regression in tensor product spaces by the method of sieves. [PDF]
Estimation of a conditional mean (linking a set of features to an outcome of interest) is a fundamental statistical task. While there is an appeal to flexible nonparametric procedures, effective estimation in many classical nonparametric function spaces,
Zhang T, Simon N.
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Controlled Fusion Frame in Tensor Product of Hilbert Spaces
In this paper, we study controlled fusion frame in tensor product of Hilbert spaces and discuss some of its properties. We describe the resolution of the identity operator on a tensor product of Hilbert spaces using the theory of controlled fusion frame.
P. Ghosh, T. Samanta
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Self-duality for the Haagerup tensor product and Hilbert space factorizations
An operator space is defined to be a vector space \(V\) with a system of norms, for each matrix space \(M_ n(V)\subset B(H^{\otimes n})\), satisfying \(\| v+w\|=\max\{\| v\|,\| w\|\}\), \(\|\alpha v \beta\| \leq \|\alpha\| \| v\| \|\beta\|\), where \(v\in M_ m(V)\), \(w\in M_ n(W)\), \(\alpha\in M_{p,m}\), \(\beta\in M_{m,p}\). Defining \(\varphi_ n:M_
Edward G. Effros, Zhong‐Jin Ruan
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Introduction to Continuous biframes in Hilbert spaces and their tensor products
24 pages.
Prasenjit Ghosh, T. K. Samanta
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On embeddings of weighted tensor product Hilbert spaces
We study embeddings between tensor products of weighted reproducing kernel Hilbert spaces. The setting is based on a sequence of weights γ j 0 and sequences 1 + γ j k and 1 + l γ j of reproducing kernels k such that H ( 1 + γ j k ) = H ( 1 + l γ j ) , in particular. We derive necessary and sufficient conditions for the norms on ? j = 1 s H ( 1 + γ j k )
M. Hefter, K. Ritter
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On the minimal Sums of sequences in the tensor product of separable Hilbert spaces
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 ...
Abdelkrim Bourouihiya, Samir Kabbaj
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