∗-K-Operator Frame for Hom∗A(X)

European Journal of Mathematical Analysis ◽

10.28924/ada/ma.2.4 ◽

2021 ◽

Vol 2 ◽

pp. 4

Author(s):

Mohamed Rossafi ◽

Roumaissae El Jazzar ◽

Ali Kacha

Keyword(s):

Tensor Product ◽

Frame Operator

In this work, we introduce the concept of ∗-K-operator frames in Hilbert pro-C∗-modules, which is a generalization of K-operator frame. We present the analysis operator, the synthesis operator and the frame operator. We also give some properties and we study the tensor product of ∗-K-operator frame for Hilbert pro-C ∗ -modules.

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Frame Operator and Hilbert-Schmidt Operator in Tensor Product of Hilbert Spaces

Journal of Dynamical Systems and Geometric Theories ◽

10.1080/1726037x.2009.10698563 ◽

2009 ◽

Vol 7 (1) ◽

pp. 61-70 ◽

Cited By ~ 2

Author(s):

G. Upender Reddy ◽

N. Gopal Reddy ◽

B. Krishna Reddy

Keyword(s):

Tensor Product ◽

Hilbert Spaces ◽

Frame Operator ◽

Schmidt Operator

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Controlled generalized fusion frame in the tensor product of Hilbert spaces

Armenian Journal of Mathematics ◽

10.52737/18291163-2021.13.13-1-18 ◽

2021 ◽

pp. 1-18

Author(s):

Prasenjit Ghosh ◽

Tapas Kumar Samanta

Keyword(s):

Tensor Product ◽

Hilbert Spaces ◽

Frame Operator ◽

Fusion Frame ◽

Bessel Sequences

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 Hilbert spaces.

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∗-K-operator frame for End𝒜∗(ℋ)

Asian-European Journal of Mathematics ◽

10.1142/s1793557120500606 ◽

2018 ◽

Vol 13 (03) ◽

pp. 2050060

Author(s):

Mohamed Rossafi ◽

Samir Kabbaj

Keyword(s):

Tensor Product ◽

Frame Operator

In this paper, we introduce the notion of ∗-[Formula: see text]-operator frame as a generalization of the notion of [Formula: see text]-operator frame and we study the corresponding frame operator. It is completed by a result on the frame operator of the tensor product of two frame operators.

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Reference Signal Based Tensor Product Expansion for EOG-Related Artifact Separation in EEG

IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences ◽

10.1587/transfun.e100.a.2230 ◽

2017 ◽

Vol E100.A (11) ◽

pp. 2230-2237

Author(s):

Akitoshi ITAI ◽

Arao FUNASE ◽

Andrzej CICHOCKI ◽

Hiroshi YASUKAWA

Keyword(s):

Tensor Product ◽

Reference Signal

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On degeneracy problem of NFSRs via semi-tensor product

2020 39th Chinese Control Conference (CCC) ◽

10.23919/ccc50068.2020.9189105 ◽

2020 ◽

Author(s):

Xinyu Zhao ◽

Biao Wang ◽

Shuqian Zhu ◽

Jun-e Feng

Keyword(s):

Tensor Product ◽

Degeneracy Problem

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On the Buchstaber Subring in MSp∗

Georgian Mathematical Journal ◽

10.1515/gmj.1998.401 ◽

1998 ◽

Vol 5 (5) ◽

pp. 401-414

Author(s):

M. Bakuradze

Keyword(s):

Tensor Product ◽

Characteristic Classes ◽

Generalized Quaternion ◽

Symplectic Cobordisms

Abstract A formula is given to calculate the last n number of symplectic characteristic classes of the tensor product of the vector Spin(3)- and Sp(n)-bundles through its first 2n number of characteristic classes and through characteristic classes of Sp(n)-bundle. An application of this formula is given in symplectic cobordisms and in rings of symplectic cobordisms of generalized quaternion groups.

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Fractal Frames of Functions on the Rectangle

Fractal and Fractional ◽

10.3390/fractalfract5020042 ◽

2021 ◽

Vol 5 (2) ◽

pp. 42

Author(s):

María A. Navascués ◽

Ram Mohapatra ◽

Md. Nasim Akhtar

Keyword(s):

Tensor Product ◽

Product Space ◽

Integrable Function ◽

Two Dimensional ◽

Tensor Product Space ◽

Fractal Functions

In this paper, we define fractal bases and fractal frames of L2(I×J), where I and J are real compact intervals, in order to approximate two-dimensional square-integrable maps whose domain is a rectangle, using the identification of L2(I×J) with the tensor product space L2(I)⨂L2(J). First, we recall the procedure of constructing a fractal perturbation of a continuous or integrable function. Then, we define fractal frames and bases of L2(I×J) composed of product of such fractal functions. We also obtain weaker families as Bessel, Riesz and Schauder sequences for the same space. Additionally, we study some properties of the tensor product of the fractal operators associated with the maps corresponding to each variable.

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