ON PRODUCT OF RANGE SYMMETRIC MATRICES IN AN INDEFINITE INNER PRODUCT SPACE

ARUNACHALAM MEENAKSHI

Abstract


Abstract

Equivalent conditions for the product of range symmetric matrices in an indefinite inner product space in the setting of an indefinite matrix product to be range symmetric is derived.  Characterizations of range symmetric block matrix in an inner product space are presented. General conditions under which a range symmetric matrix in an indefinite inner product space can be expressed as a product of range symmetric matrices under an indefinite matrix multiplication are established.


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References


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applications to indefinite inner product spaces, J. Anal., 12 (2004), 135-142.

Jayaraman.S, EP matrices in indefinite inner product spaces, Funct. Anal. Approx. Comp.

(2)(2012),23-31.


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