Results 21 to 30 of about 50,797 (262)
Frame properties of operator orbits [PDF]
Mathematische Nachrichten, 2019 AbstractWe consider sequences in a Hilbert space of the form , with a linear operator T, the index set being either or , a vector , and answer the following two related questions: (a) Which frames for are of this form with an at least closable operator T? and (b) For which bounded operators T and vectors f0 is a frame for ?
Christensen, Ole +2 more
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Some Properties of Operator Valued Frames in Quaternionic Hilbert Spaces
Mathematics, 2022 Quaternionic Hilbert spaces play an important role in applied physical sciences especially in quantum physics. In this paper, the operator valued frames on quaternionic Hilbert spaces are introduced and studied.
Guoqing Hong, Pengtong Li
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Frames generated by double sequences in Hilbert spaces [PDF]
Mathematica Moravica, 2023 In this paper, we introduce frames generated by double sequences (d-frame) in Hilbert spaces and describe some of their properties. Furthermore, we discuss frame operators, alternate dual frames and stability for d-frames.
Biswas Narendra +2 more
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Duality of Continuous K-g-Frames [PDF]
Sahand Communications in Mathematical Analysis, 2023 K-g-frames, as an extension of g-frames and K-frames are one of the active fields in frame theory. In this paper, we consider continuous K-g-frames which are a generalization of discrete K-g-frames.
Atefe Razghandi, Ali Akbar Arefijamaal
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Introduction of Frame in Tensor Product of $n$-Hilbert Spaces [PDF]
Sahand Communications in Mathematical Analysis, 2021 We study the concept of frame in tensor product of $n$-Hilbert spaces as tensor product of $n$-Hilbert spaces is again an $n$-Hilbert space. We generalize some of the known results about bases to frames in this new Hilbert space.
Prasenjit Ghosh, Tapas Samanta
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Sahand Communications in Mathematical Analysis, 2021 We define in a natural way the bicomplex analog of the frames (bc-frames) in the setting of bicomplex infinite Hilbert spaces, and we characterize them in terms of their idempotent components.
Aiad Elgourari +2 more
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Perturbation and Stability of Continuous Operator Frames in Hilbert C∗-Modules
Journal of Mathematics, 2021 Frame theory has a great revolution in recent years. This theory has been extended from the Hilbert spaces to Hilbert C∗-modules. In this paper, we consider the stability of continuous operator frame and continuous K-operator frames in Hilbert C∗-modules
Abdeslam Touri +3 more
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Controlled Frame for Operator in Hilbert c∗-Modules
International Journal of Mathematics and Mathematical Sciences, 2022 In this study, we will introduce a new concept, which is a controlled K-operator frame for the space of all adjointable operators on a Hilbert A-module ℋ which denoted EndA∗ℋ, where A is a C∗-algebra.
Hatim Labrigui +3 more
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On the relation of the frame-related operators of fusion frame systems
Sampling Theory, Signal Processing, and Data Analysis, 2023 AbstractFrames have been investigated frequently over the last few decades due to their valuable properties, which are desirable for various applications as well as interesting for theory. Some applications additionally require distributed processing techniques, which naturally leads to the concept of fusion frames and fusion frame systems.
Lukas Köhldorfer, Peter Balazs
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IET Power Electronics, 2021 Cascaded H‐bridge multilevel converter is widely applied in flexible AC transmission and grid connection of renewable energy, but its current quality decreases as the grid voltage distortion continues to deteriorate.
Daliang Yang +5 more
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