Results 21 to 30 of about 161,013 (263)
Frames of subspaces in Hilbert spaces with W-metrics
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2015 In this paper we start considering a sesquilinear form 〈W·,·〉 defined over a Hilbert space (ℌ,〈·,·〉) where W is bounded (W* = W ∈ Ɓ(ℌ)) and ker W = {0}. We study the dynamic of frame of subspaces over the completion of (ℌ, 〈W·,·〉) which is denoted by ℌW ...
Acosta-Humánez Primitivo +2 more
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Relay fusion frames for Hilbert spaces
Journal of Inequalities and Applications, 2019 A new notion of frames, called the relay fusion frames, for Hilbert spaces has been introduced by the authors. It provides a mathematical framework for applications that require the transmission of signals over long distances or need to expand the ...
Guoqing Hong, Pengtong Li
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Pseudo-Duals of Frames with Applications
Applied and Computational Harmonic Analysis, 2001 Let \(\{x_n\}\) be a frame for a Hilbert space \(H\). A dual for \(\{x_n\}\) is a frame \(\{x_n^*\}\) for which \(x= \sum \langle x,x_n\rangle x_n^*= \sum \langle x,x_n^*\rangle x_n\) for all \(x\in H\). More generally, a pseudo-dual of \(\{x_n\}\) is any family \(\{x_n^*\}\) for which \(\langle x,y\rangle = \sum \langle x,x_n^*\rangle \langle x_n,y ...
Shidong Li, Hidemitsu Ogawa
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Probability Modeled Optimal K-Frame for Erasures
IEEE Access, 2018 It has been found that the research of a special kind of frames, named K-frames where K is an operator, is significant in theory and application. In this paper, first of all, in theory, we discuss some properties about the existence and structure of the ...
He Miao +3 more
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Implementation of Discretized Gabor Frames and Their Duals [PDF]
IEEE Transactions on Information Theory, 2016 16 pages, 4 ...
Kloos, Tobias +2 more
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Some Properties of Canonical Dual K-Bessel Sequences for Parseval K-Frames
Journal of Function Spaces, 2019 The concept of canonical dual K-Bessel sequences was recently introduced, a deep study of which is helpful in further developing and enriching the duality theory of K-frames.
Zhong-Qi Xiang
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More on Inequalities for Weaving Frames in Hilbert Spaces
Mathematics, 2019 In this paper, we present several new inequalities for weaving frames in Hilbert spaces from the point of view of operator theory, which are related to a linear bounded operator induced by three Bessel sequences and a scalar in the set of real numbers ...
Zhong-Qi Xiang
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Continuous $ k $-Frames and their Dual in Hilbert Spaces [PDF]
Sahand Communications in Mathematical Analysis, 2020 The notion of $k$-frames was recently introduced by G\u avru\c ta in Hilbert spaces to study atomic systems with respect to a bounded linear operator. A continuous frame is a family of vectors in a Hilbert space which allows reproductions of arbitrary ...
Gholamreza Rahimlou +3 more
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Optimal Dual Frames for Probabilistic Erasures
IEEE Access, 2019 Assume that a frame is given for encoding in a communication system. J. Leng et al. investigated its dual frames for signal decoding which minimize the maximal error when the probabilistic erasures occur in the transmission process.
Dongwei Li, Jinsong Leng, Miao He
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Calibration estimation in dual-frame surveys [PDF]
Statistical Methods & Applications, 2015 33 ...
Maria Giovanna Ranalli +3 more
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