In this paper, we investigate properties of A-self-adjoint operators and other relations on Hilbert spaces. In this context, A is a self-adjoint and an invertible operator. More results on operator equivalences including similarity, unitary and metric equivalences are discussed. We also investigate conditions under which these classes of operators are self- adjoint and unitary. We finally locate their spectra.
| Published in | Mathematics and Computer Science (Volume 1, Issue 3) |
| DOI | 10.11648/j.mcs.20160103.14 |
| Page(s) | 56-60 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
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Copyright © The Author(s), 2024. Published by Science Publishing Group |
A-Self-Adjoint, A-Unitary, Hilbert Space, Metric Equivalence, Quasiaffinities
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APA Style
Isaiah N. Sitati. (2016). On A-Self-Adjoint, A-Unitary Operators and Quasiaffinities. Mathematics and Computer Science, 1(3), 56-60. https://doi.org/10.11648/j.mcs.20160103.14
ACS Style
Isaiah N. Sitati. On A-Self-Adjoint, A-Unitary Operators and Quasiaffinities. Math. Comput. Sci. 2016, 1(3), 56-60. doi: 10.11648/j.mcs.20160103.14
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Download@article{10.11648/j.mcs.20160103.14,
author = {Isaiah N. Sitati},
title = {On A-Self-Adjoint, A-Unitary Operators and Quasiaffinities},
journal = {Mathematics and Computer Science},
volume = {1},
number = {3},
pages = {56-60},
doi = {10.11648/j.mcs.20160103.14},
url = {https://doi.org/10.11648/j.mcs.20160103.14},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.mcs.20160103.14},
abstract = {In this paper, we investigate properties of A-self-adjoint operators and other relations on Hilbert spaces. In this context, A is a self-adjoint and an invertible operator. More results on operator equivalences including similarity, unitary and metric equivalences are discussed. We also investigate conditions under which these classes of operators are self- adjoint and unitary. We finally locate their spectra.},
year = {2016}
}
TY - JOUR T1 - On A-Self-Adjoint, A-Unitary Operators and Quasiaffinities AU - Isaiah N. Sitati Y1 - 2016/09/07 PY - 2016 N1 - https://doi.org/10.11648/j.mcs.20160103.14 DO - 10.11648/j.mcs.20160103.14 T2 - Mathematics and Computer Science JF - Mathematics and Computer Science JO - Mathematics and Computer Science SP - 56 EP - 60 PB - Science Publishing Group SN - 2575-6028 UR - https://doi.org/10.11648/j.mcs.20160103.14 AB - In this paper, we investigate properties of A-self-adjoint operators and other relations on Hilbert spaces. In this context, A is a self-adjoint and an invertible operator. More results on operator equivalences including similarity, unitary and metric equivalences are discussed. We also investigate conditions under which these classes of operators are self- adjoint and unitary. We finally locate their spectra. VL - 1 IS - 3 ER -
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