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Cone Hilbert Space

Dr.A. Devika, M. Malarvizhi

Abstract


In this paper we study about the   cone Hilbert Space and cone spectrum. Also we have proved some properties of 2 – Isometric Operators on Cone Hilbert Space

Keywords


Cone, Cone Normed Space, Cone Hilbert Space, Cone Spctrum, 2 – Isometric Operators

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References


L.G Huang and X.Zhang , “ Cone metric spaces and fixed point theorem of contractive mappings”, journal of Mathematical Analysis and Applications, Vol.332, No.2, PP.1468-1476, 2007

S.M.Patel, 2-isometric operators, Glansnik Mathematiki, Vol.37(57) 2002, 141-145.

Thabet Abdeljaward, Completion of cone metric spaces, Hacettepe journalof Mathematics and Statistics, Vol.39(1), 2010, 67-74

A.Brown and A.Page, Elements of Functional Analysis Vannost and Reinhold company, London

Deimling, K. Nonlinear Functional Analysis (Springer-Verlage, 1985).


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