Multiplication and Addition of Tetrajection Operator

Authors

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

Keywords:

Projection, Trijection, Tetrajection

Abstract

In this paper we define a tetrajection operator in analogue to a projection and a trijection operator. We study condition for multiplication of two tetrajections to be a tetrajection and relation between their ranges and null spaces. We obtain condition for addition of two tetrajections to be a tetrajection and relation between their ranges and null spaces.

References

  1. Chandra, P : “Investigation into the theory of operators and linear spaces” (Ph.D. Thesis, P.U.1977)
  2. Dunford, N. and Schwartz, J.: “Linear operators, part I” Interscience publishers, Inc., New York, 1967, P 37
  3. Rudin, W. : “Functional Analysis”, McGraw- Hill Book Company, Inc., New York, 1973, p. 126.
  4. Simmons G. F., “Introduction to Topology and Modern Analysis” Mc. Graw-Hill Book Company Inc., New York, 1963; p-274

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Published

2017-02-20

Issue

Section

Research Articles

How to Cite

[1]
Dr. Rajiv Kumar Mishra, " Multiplication and Addition of Tetrajection Operator, International Journal of Scientific Research in Science, Engineering and Technology(IJSRSET), Print ISSN : 2395-1990, Online ISSN : 2394-4099, Volume 3, Issue 1, pp.588-591, January-February-2017.