Title : ( Positive Compact Operators on Quaternionic Hilbert Spaces )
Authors: Massoumeh Fashandi ,
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Abstract
In this paper, some properties of compact operators on quaternionic Hilbert spaces are studied. It is shown that the positiveness of a compact normal operator on a quaternionic Hilbert space is equivalent to positiveness of its eigenvalues. Some results analogous to the ones concerning compact operators on Hilbert spaces are proved in the quaternionic context
Keywords
quaternionic Hilbert spaces; compact operators; positive operator
@article{paperid:1060560,
author = {Fashandi, Massoumeh},
title = {Positive Compact Operators on Quaternionic Hilbert Spaces},
journal = {Thai Journal of Mathematics},
year = {2017},
volume = {15},
number = {2},
month = {September},
issn = {1686-0209},
pages = {475--482},
numpages = {7},
keywords = {quaternionic Hilbert spaces; compact operators; positive operator},
}
%0 Journal Article
%T Positive Compact Operators on Quaternionic Hilbert Spaces
%A Fashandi, Massoumeh
%J Thai Journal of Mathematics
%@ 1686-0209
%D 2017
