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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 18 | Number 1 | Year 2015 | Article Id. IJMTT-V18P504 | DOI : https://doi.org/10.14445/22315373/IJMTT-V18P504

Riesz Operators and their Applications in the Eigen values of Linear Operators


Dr. S.K.Singh, Dr. Gyan Mukherjee, Dr. Santosh Kumar, Dr. Mahendra Kumar Roy
Abstract

We have introduced Riesz Operators and its various properties. We have developed Eigen value theorems for absolute operator.

Keywords
Operators, Linear Operators, Riesz Operators, Absolutely r-summing Operator, Eigen Value, Riesz Decomposition, Pigeon-hole Principle.
References

[1] Jain. P.K.Ahuja, O.P. & Ahmed Khalil: Some definition and examples of functional Analysis New Age, 24-27,57-58,90-84,266-293.
[2] Lahiri,B.K.: Some definition and examples of elements of Functional Analysis,107-120,176- 205.
[3] Saran & Shukla: Functional Analysis, Pragati Prakashan, Meerut,1986.
[4] K.K.Jha: Functional Analysis, Student’s Friends,1986.
[5] Acharya, K. & Sinha T. K. : On Eigen Values of Riesz Operator, Bull Pure & Applied Sciences, Vol.17(No.2)- 1997,249-252.
[6] Konig,H.: Eigen value distribution of Compact Operators, Birkhauser,1986
[7] Pietsch,A.: Eigen values of absolutely r-summing operators. Aspects of Math and its Applications, Amsterdam,1986, 607-617.
[8]Benzinger,H.E.: Completeness of Eigen Vectors In Banach Spaces, Math. Soc.38,1985, 319-324.
[9] Dunford,N & Schwartz, J.T.: Linear Operators, Vol. I & II, Inter Science Publication,1958/63.

Citation :

Dr. S.K.Singh, Dr. Gyan Mukherjee, Dr. Santosh Kumar, Dr. Mahendra Kumar Roy, "Riesz Operators and their Applications in the Eigen values of Linear Operators," International Journal of Mathematics Trends and Technology (IJMTT), vol. 18, no. 1, pp. 21-25, 2015. Crossref, https://doi.org/10.14445/22315373/IJMTT-V18P504

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