Glasnik Matematicki, Vol. 35, No.2 (2000), 307-312.

A NOTE ON QUASI-ISOMETRIES

S. M. Patel

Department of MAthematics, Sardar Patel University, Vallabh Vidyanagar - 388 120, Gujarat, India

Abstract.   The paper aims at investigating some basic properties of a quasi isometry which is defined to be a bounded linear operator on a Hilbert space such that T*2 T2 = T* T.

1991 Mathematics Subject Classification.   47A62, 47A63, 47B20.

Key words and phrases.   Hilbert space, bounded operators, isometry, spectrum.

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