Generalized fusion frame in Quaternionic Hilbert spaces

Fuente: arXiv
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1. Verfasser: Ghosh, Prasenjit
Format: Preprint
Veröffentlicht: 2022
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author Ghosh, Prasenjit
author_facet Ghosh, Prasenjit
contents We introduce the notion of a generalized fusion frame in quaternionic Hilbert space. A characterization of generalized fusion frame in quaternionic Hilbert space with the help of frame operator is being discussed. Finally, we construct g-fusion frame in quaternionic Hilbert space using invertible bounded right Q-linear operator on quaternionic Hilbert space.
format Preprint
id arxiv_https___arxiv_org_abs_2211_07329
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle Generalized fusion frame in Quaternionic Hilbert spaces
Ghosh, Prasenjit
Functional Analysis
Primary 42C15, Secondary 46C07
We introduce the notion of a generalized fusion frame in quaternionic Hilbert space. A characterization of generalized fusion frame in quaternionic Hilbert space with the help of frame operator is being discussed. Finally, we construct g-fusion frame in quaternionic Hilbert space using invertible bounded right Q-linear operator on quaternionic Hilbert space.
title Generalized fusion frame in Quaternionic Hilbert spaces
topic Functional Analysis
Primary 42C15, Secondary 46C07
url https://arxiv.org/abs/2211.07329