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Published in 2018 at "Numerical Functional Analysis and Optimization"
DOI: 10.1080/01630563.2017.1351987
Abstract: ABSTRACT In this paper, we introduce an order ϕ-function on a Riesz space. Further, we construct a Riesz- Valued Sequence spaces using the ϕ-function and obtain the condition to characterize these spaces.
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Keywords:
valued sequence;
sequence spaces;
riesz valued;
order function ... See more keywords
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Published in 2019 at "Journal of Inequalities and Applications"
DOI: 10.1186/s13660-019-2022-x
Abstract: In this paper, we define the g-Riesz-dual of a given special operator-valued sequence with respect to g-orthonormal bases for a separable Hilbert space. We demonstrate that the g-R-dual keeps some synchronous frame properties with the…
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Keywords:
operator valued;
characterizing duality;
valued sequence;
duality frames ... See more keywords