نتایج جستجو برای: operator dual frame

تعداد نتایج: 345361  

2007
Tevian Dray

The Hodge dual operator ∗ is one of the 3 basic operations on differential forms. (The other 2 are wedge product ∧ and exterior differentiation d.) However most treatments consider only positive-definite inner products, and there are at least 2 standard ways of generalizing this to inner products of arbitrary signature. We outline here a construction of the Hodge dual operator which works for a...

2008
Ole Christensen Richard S. Laugesen

Approximately dual frames are studied in the Hilbert space setting. Approximate duals are easier to construct than classical dual frames, and can be tailored to yield almost perfect reconstruction. Bounds on the deviation from perfect reconstruction are obtained for approximately dual frames constructed via perturbation theory. An alternative bound is derived for the rich class of Gabor frames,...

2000
P. G. Casazza

If (fn) is a sequence of elements of an infinite dimensional Hilbert space H and (en) is an orthonormal basis for H , we define the preframe operator T : H → H by: Ten = fn. It follows that for any f ∈ H , T ∗f = ∑ n〈f, fn〉en. Hence, (fn) is a frame if and only if T ∗ is an isomorphism (called the frame transform) and in this case S = TT ∗ is an invertible operator on H called the frame operato...

A. R. Mirza Goltabar Roshan, F. Zahedi Tajrishi,

This paper is concerned with the determination of optimal sensor locations for structural modal identification in a strap-braced cold formed steel frame based on an improved genetic algorithm (IGA). Six different optimal sensor placement performance indices have been taken as the fitness functions two based on modal assurance criterion (MAC), two based on maximization of the determinant of a Fi...

Journal: :journal of linear and topological algebra (jlta) 0
f aboutorabi goudarzi department of mathematics, faculty of science, central tehran branch, islamic azad university, tehran, iran. m. s asgari department of mathematics, faculty of science, central tehran branch, islamic azad university, tehran, iran.

in this paper we investigate a new notion of bases in hilbert spaces and similarto fusion frame theory we introduce fusion bases theory in hilbert spaces. we also introducea new de nition of fusion dual sequence associated with a fusion basis and show that theoperators of a fusion dual sequence are continuous projections. next we de ne the fusionbiorthogonal sequence, bessel fusion basis, hilbe...

Journal: :journal of linear and topological algebra (jlta) 0
m rashidi-kouchi young researchers and elite club kahnooj branch, islamic azad university, kerman, iran.

in this paper, we investigate duality of modular g-riesz bases and g-riesz basesin hilbert c*-modules. first we give some characterization of g-riesz bases in hilbert c*-modules, by using properties of operator theory. next, we characterize the duals of a giveng-riesz basis in hilbert c*-module. in addition, we obtain sucient and necessary conditionfor a dual of a g-riesz basis to be again a g...

Journal: :Sampling Theory, Signal Processing, and Data Analysis 2016

Journal: :Journal of Mathematical Analysis and Applications 2022

The aim of this article is to give an infinite dimensional analogue a result Choi and Effros concerning dual spaces finite unital operator systems. An (not necessarily unital) system self-adjoint subspace L(H), equipped with the induced matrix norm cone. We say that T dualizable if one can find equivalent on space T? such under canonical cone, becomes system. show only ordered normed M?(T)sa sa...

Journal: :Science of Computer Programming 2014

Journal: :Proceedings of the American Mathematical Society 1952

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