Spectral Resolution of Square of a λ-jection of Fourth Order

Authors

  • Dr. Rajiv Kumar Mishra  Associate Professor, Department of Mathematics, Rajendra College Chapra, J.P. University, Chapra, Bihar, India

Keywords:

λ-jection of third order, λ-jection of fourth order, projection spectrum.

Abstract

In this paper I define a λ - jection of fourth order and obtain spectral resolution of square of such an operator.

References

  1. Chandra, P. “Investigation into the theory of operators and linear spaces” Ph.D. thesis, Patna University, 1977.
  2. Dunford, N. and Schwartz, J. "Linear Operators, Part I”, Interscience Publishers, Inc; New York, 1967, p. 37
  3. Rudin, W, “Functional Analysis”, Mc Graw Hill Book Company, Inc; New York, 1973, p.126.
  4. Simmons, G.F.: “Introduction to Topology and Modern Analysis”, McGraw Hill Book COmpany, Inc., New York, 1963
  5. Mishra, R.K.: “On a special type of operators called ?-jection of third order”, International Journal of Scientific Research in Science and Technology, (IJSRST), Online ISSN: 2395-602X, Print ISSN: 2395-6011, Volume 4, Issue 2, pp 2321-2328, January-February 2018

International Journal of Scientific Research in Science and Technology

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Published

2021-08-30

Issue

Volume 8, Issue 4, July-August-2021

Section

Research Articles

License

Copyright (c) IJSRST

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

[1]
Dr. Rajiv Kumar Mishra "Spectral Resolution of Square of a λ-jection of Fourth Order" International Journal of Scientific Research in Science and Technology(IJSRST), Online ISSN : 2395-602X, Print ISSN : 2395-6011,Volume 8, Issue 4, pp.723-730, July-August-2021.