On the Weak Topology of Quaternionic Hilbert Spaces

被引：0
作者：
M. Fashandi
机构：
[1] Ferdowsi University of Mashhad,Faculty of Mathematical Sciences
来源：
Advances in Applied Clifford Algebras | 2019年 / 29卷
关键词：
Quaternionic Hilbert spaces; Weak topology; Compact operators; 46E22; 47B07;
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摘要：
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–Šmulian theorem. Also, we apply this observation on study compact operators on right quaternionic Hilbert spaces.
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