Some Results on the Bounded Nadir's Operator

Mostefa Nadir

doi:doi:10.11648/j.bsi.20170203.17

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Some Results on the Bounded Nadir's Operator

Mostefa Nadir

Received: 24 July 2017 Accepted: 15 August 2017 Published: 4 September 2017

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Abstract

In this paper, we present some new results for the Nadir’s operator such the normality, the skew normality and the compactness of this operator and study its invertibility in the algebra of all bounded linear operators on a complex separable Hilbert space.

DOI	10.11648/j.bsi.20170203.17
Published in	Biomedical Statistics and Informatics (Volume 2, Issue 3, September 2017)
Page(s)	128-130
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.
Copyright	Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Skew Operator, Compact Operator, Normal Operator

References

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[3]	T. Ando, On Hyponormal operators, Proc. Amer. Math. Soc., 14 (1963), 290-291.
[4]	M. S. Birman and M. Z. Solomjak, Spectral theory of Self-Adjoint operators in Hilbert Space, D. Reidel Publishing Company, 1986.
[5]	J. Conway, A course in Functional analysis, Second Edition, Spring-Verlag, New york, 1990.
[6]	B. Fuglede, A commutativity theorem for normal operators. Proc. Natl. Acad. Sci. 36, 35–40(1950).
[7]	P. Hess, T. Kato, Perturbation of closed operators and their adjoints. Comment. Math. Helv. 45, 524–529 (1970).
[8]	A. A. S. Jibril. On n-power normal operators. The journal. for Sc and Emg, vol 33. numbr 2 (2008) 247-251.
[9]	T. Kato, Perturbation Theory for Linear Operators (Reprint of the 2nd edition of 1980). Springer, New York (1995).
[10]	Panayappan, S., On n-power class (Q) operators, Int. J. of Math. Anal., 6(31) (2012)1513-1518.
[11]	M. H. Mortad, On the Normality of the Sum of Two Normal Operators in Complex Anal. Oper. Theory (2012) 6: 105–112.
[12]	A. Gupta and P. Sharma, (α, β)-Normal Composition Operators, Thai Journal of Mathematics 14 (2016) Number 1: 83-92.
[13]	J. Weidmann, Linear operators in Hilbert spaces (translated from the German by J. Szücs), Srpinger-Verlag, GTM 68 (1980).
[14]	K. Yosida, Functional Analysis, Springer-verlag, Berlin Heidelberg New York 1980 (Sixth Edition).

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APA Style

Mostefa Nadir. (2017). Some Results on the Bounded Nadir's Operator. Biomedical Statistics and Informatics, 2(3), 128-130. https://doi.org/10.11648/j.bsi.20170203.17

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ACS Style

Mostefa Nadir. Some Results on the Bounded Nadir's Operator. Biomed. Stat. Inform. 2017, 2(3), 128-130. doi: 10.11648/j.bsi.20170203.17

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AMA Style

Mostefa Nadir. Some Results on the Bounded Nadir's Operator. Biomed Stat Inform. 2017;2(3):128-130. doi: 10.11648/j.bsi.20170203.17

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@article{10.11648/j.bsi.20170203.17,
  author = {Mostefa Nadir},
  title = {Some Results on the Bounded Nadir's Operator},
  journal = {Biomedical Statistics and Informatics},
  volume = {2},
  number = {3},
  pages = {128-130},
  doi = {10.11648/j.bsi.20170203.17},
  url = {https://doi.org/10.11648/j.bsi.20170203.17},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.bsi.20170203.17},
  abstract = {In this paper, we present some new results for the Nadir’s operator such the normality, the skew normality and the compactness of this operator and study its invertibility in the algebra of all bounded linear operators on a complex separable Hilbert space.},
 year = {2017}
}

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TY  - JOUR
T1  - Some Results on the Bounded Nadir's Operator
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Y1  - 2017/09/04
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N1  - https://doi.org/10.11648/j.bsi.20170203.17
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JO  - Biomedical Statistics and Informatics
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VL  - 2
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Author Information

Mostefa Nadir

Department of Mathematics, Faculty of Mathematics and Informatics University of Msila, Msila, Algeria

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APA Style

Mostefa Nadir. (2017). Some Results on the Bounded Nadir's Operator. Biomedical Statistics and Informatics, 2(3), 128-130. https://doi.org/10.11648/j.bsi.20170203.17

Copy | Download

ACS Style

Mostefa Nadir. Some Results on the Bounded Nadir's Operator. Biomed. Stat. Inform. 2017, 2(3), 128-130. doi: 10.11648/j.bsi.20170203.17

Copy | Download

AMA Style

Mostefa Nadir. Some Results on the Bounded Nadir's Operator. Biomed Stat Inform. 2017;2(3):128-130. doi: 10.11648/j.bsi.20170203.17

Copy | Download

@article{10.11648/j.bsi.20170203.17,
  author = {Mostefa Nadir},
  title = {Some Results on the Bounded Nadir's Operator},
  journal = {Biomedical Statistics and Informatics},
  volume = {2},
  number = {3},
  pages = {128-130},
  doi = {10.11648/j.bsi.20170203.17},
  url = {https://doi.org/10.11648/j.bsi.20170203.17},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.bsi.20170203.17},
  abstract = {In this paper, we present some new results for the Nadir’s operator such the normality, the skew normality and the compactness of this operator and study its invertibility in the algebra of all bounded linear operators on a complex separable Hilbert space.},
 year = {2017}
}

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TY  - JOUR
T1  - Some Results on the Bounded Nadir's Operator
AU  - Mostefa Nadir
Y1  - 2017/09/04
PY  - 2017
N1  - https://doi.org/10.11648/j.bsi.20170203.17
DO  - 10.11648/j.bsi.20170203.17
T2  - Biomedical Statistics and Informatics
JF  - Biomedical Statistics and Informatics
JO  - Biomedical Statistics and Informatics
SP  - 128
EP  - 130
PB  - Science Publishing Group
SN  - 2578-8728
UR  - https://doi.org/10.11648/j.bsi.20170203.17
AB  - In this paper, we present some new results for the Nadir’s operator such the normality, the skew normality and the compactness of this operator and study its invertibility in the algebra of all bounded linear operators on a complex separable Hilbert space.
VL  - 2
IS  - 3
ER  -

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