In this paper, the condition under which composite multiplication operators on Hilbert spaces become skew n-normal operators, (Alpha, Beta)-normal, parahyponormal and quasi-parahyponormal have been obtained in terms of radon-nikodym derivative.
| Published in | International Journal of Discrete Mathematics (Volume 4, Issue 1) |
| DOI | 10.11648/j.dmath.20190401.17 |
| Page(s) | 45-51 |
| 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), 2019. Published by Science Publishing Group |
Composite Multiplication Operator, Conditional Expectation, Aluthge Transformation, Skew n-Normal Operator, Parahyponormal
| [1] | Campbell J & Jamison J, On some classes of weighted composition operators, Glasgow Math. J. vol. 32, pp. 82-94, (1990). |
| [2] | Embry Wardrop M & Lambert A, Measurable transformations and centred composition operators, Proc. Royal Irish Acad, vol. 2(1), pp. 23-25 (2009). |
| [3] | Herron J, Weighted conditional expectation operators on Hilbert spaces, UNC charlotte doctoral dissertation. |
| [4] | Thomas Hoover, Alan Lambert and Joseph Quinn, The Markov process determined by a weighted composition operator, Studia Mathematica, vol. XXII (1982). |
| [5] | Singh RK & Kumar DC, Weighted composition operators, Ph.D. thesis, Univ. of Jammu (1985). |
| [6] | Singh RK, Composition operators induced by rational functions, Proc. Amer. Math. Soc., vol. 59, pp. 329-333(1976). |
| [7] | Takagi H & Yokouchi K, Multiplication and Composition operators between two Hilbert spaces, Contem. Math., vol. 232, pp. 321-338 (1999). |
| [8] | PanaiyappanS & Senthil kumar D, Parahyponormal and M-parahyponormal composition operators, Acta Ciencia Indica, vol. XXVIII (4) (2002). |
| [9] | Senthil S, Thangaraju P & Kumar DC, n-normal and n-quasi-normal composite multiplication operator on Hilbert spaces, Journal of Scientific Research & Reports, vol. 8(4), pp. 1-9 (2015). |
| [10] | Senthil S, Thangaraju P & KumarDC, k-*paranormal, k-quasi-*paranormal and (n,k)- quasi-*paranormal composite multiplication operator on Hilbert spaces, British Journal of mathematics and computer science, BJMCS20166 (2015). |
| [11] | Senthil S, Thangaraju P & Kumar DC, Composite multiplication operator on Hilbert spaces of vector valued functions, International research Journal of Mathematical Sciences, vol. 4 (2), pp. 1(2015). |
| [12] | Shaakir LK& Abdulwahid ES, Skew n-normal operators, Aust. J. of basic and appl. sci, Vol-8(16), pp. 340-344 (2014). |
| [13] | Moslehian MS, On (Alpha, Beta)-normal operators in Hilbert spaces, IMAGE 39, Problem 39-4 (2007). |
| [14] | Burnap C, Jung I &Lambert A, Separating partial normality classes with composition operators, J. Operator Theory Vol. 53(2), pp. 381–397 (2005). |
| [15] | Fujii M & Nakatsu Y, On subclasses of hyponormal operators, Proc. Japan Acad. Ser. A. Math. Sci. vol. (51), pp. 243–246 (1975). |
| [16] | Kutkut & Mahmoud M, On the class of parahyponormal operators, J. Math Sci, (Calcutta), vol. 4(2), pp. 73-88 (1993). |
APA Style
Senthil, Nithya, Suryadevi, David Chandrakumar. (2019). (Alpha, Beta)-Normal and Skew n-Normal Composite Multiplication Operator on Hilbert Spaces. International Journal of Discrete Mathematics, 4(1), 45-51. https://doi.org/10.11648/j.dmath.20190401.17
ACS Style
Senthil; Nithya; Suryadevi; David Chandrakumar. (Alpha, Beta)-Normal and Skew n-Normal Composite Multiplication Operator on Hilbert Spaces. Int. J. Discrete Math. 2019, 4(1), 45-51. doi: 10.11648/j.dmath.20190401.17
AMA Style
Senthil, Nithya, Suryadevi, David Chandrakumar. (Alpha, Beta)-Normal and Skew n-Normal Composite Multiplication Operator on Hilbert Spaces. Int J Discrete Math. 2019;4(1):45-51. doi: 10.11648/j.dmath.20190401.17
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Download@article{10.11648/j.dmath.20190401.17,
author = {Senthil and Nithya and Suryadevi and David Chandrakumar},
title = {(Alpha, Beta)-Normal and Skew n-Normal Composite Multiplication Operator on Hilbert Spaces},
journal = {International Journal of Discrete Mathematics},
volume = {4},
number = {1},
pages = {45-51},
doi = {10.11648/j.dmath.20190401.17},
url = {https://doi.org/10.11648/j.dmath.20190401.17},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.dmath.20190401.17},
abstract = {In this paper, the condition under which composite multiplication operators on Hilbert spaces become skew n-normal operators, (Alpha, Beta)-normal, parahyponormal and quasi-parahyponormal have been obtained in terms of radon-nikodym derivative.},
year = {2019}
}
TY - JOUR T1 - (Alpha, Beta)-Normal and Skew n-Normal Composite Multiplication Operator on Hilbert Spaces AU - Senthil AU - Nithya AU - Suryadevi AU - David Chandrakumar Y1 - 2019/05/06 PY - 2019 N1 - https://doi.org/10.11648/j.dmath.20190401.17 DO - 10.11648/j.dmath.20190401.17 T2 - International Journal of Discrete Mathematics JF - International Journal of Discrete Mathematics JO - International Journal of Discrete Mathematics SP - 45 EP - 51 PB - Science Publishing Group SN - 2578-9252 UR - https://doi.org/10.11648/j.dmath.20190401.17 AB - In this paper, the condition under which composite multiplication operators on Hilbert spaces become skew n-normal operators, (Alpha, Beta)-normal, parahyponormal and quasi-parahyponormal have been obtained in terms of radon-nikodym derivative. VL - 4 IS - 1 ER -
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