Riesz Bases in Krein Spaces
S Jahan, PS Johnson - arXiv preprint arXiv:2412.11935, 2024 - arxiv.org
We start by introducing and studying the definition of a Riesz basis in a Krein space
$(\mathcal {K},[.,.]) $, along with a condition under which a Riesz basis becomes a Bessel …
$(\mathcal {K},[.,.]) $, along with a condition under which a Riesz basis becomes a Bessel …
Norm Retrievable Wavelet Systems
MS Aghaei… - … in Mathematical Analysis, 2024 - scma.maragheh.ac.ir
This paper focuses on the norm retrieval problem for wavelet transform. The wavelet
transform associated with an admissible wavelet is norm retrieval. However, this problem is …
transform associated with an admissible wavelet is norm retrieval. However, this problem is …
A Note on Certain Classes of Retro Banach Frames
MP Goswami - Sahand Communications in Mathematical …, 2023 - scma.maragheh.ac.ir
A new class of retro Banach frames called retro bi-Banach frame has been introduced and
studied with illustrative examples. Relationships of a retro bi-Banach frame with various …
studied with illustrative examples. Relationships of a retro bi-Banach frame with various …
Approximative K-atomic decompositions and frames in Banach spaces
S Jahan - Arab Journal of Mathematical Sciences, 2020 - emerald.com
L. Gǎvruţa (2012) introduced a special kind of frames, named K-frames, where K is an
operator, in Hilbert spaces, which is significant in frame theory and has many applications. In …
operator, in Hilbert spaces, which is significant in frame theory and has many applications. In …
Approximative Atomic Systems for operators in Banach spaces
S Jahan - arXiv preprint arXiv:1909.05334, 2019 - arxiv.org
$ K $-frames and atomic systems for an operator $ K $ in Hilbert spaces were introduced by
Gavruta\cite {12} and further studied by Xio, Zhu and Gavruta\cite {21}. In this paper, we …
Gavruta\cite {12} and further studied by Xio, Zhu and Gavruta\cite {21}. In this paper, we …