Advances in Applied Clifford Algebras, Volume (29), No (1), Year (2019-2) , Pages (1-10)

Title : ( On the Weak Topology of Quaternionic Hilbert Spaces )

Authors: Massoumeh Fashandi ,

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Abstract

In this paper, we study weak topology on right quaternionic Hilbert spaces. We show that on right quaternionic Hilbert spaces weak compactness and weak sequential compactness coincide which could be viewed as a generalization of Eberlein-Smulian theorem. Also, we apply this observation on study compact operators on right quaternionic Hilbert spaces.

Keywords

, Quaternionic Hilbert spaces, Weak topology, Compact operators.
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@article{paperid:1071198,
author = {Fashandi, Massoumeh},
title = {On the Weak Topology of Quaternionic Hilbert Spaces},
journal = {Advances in Applied Clifford Algebras},
year = {2019},
volume = {29},
number = {1},
month = {February},
issn = {0188-7009},
pages = {1--10},
numpages = {9},
keywords = {Quaternionic Hilbert spaces; Weak topology; Compact operators.},
}

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%0 Journal Article
%T On the Weak Topology of Quaternionic Hilbert Spaces
%A Fashandi, Massoumeh
%J Advances in Applied Clifford Algebras
%@ 0188-7009
%D 2019

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