Glasnik Matematicki, Vol. 38, No.1 (2003), 111-120.

A NOTE ON QUASI-ISOMETRIES II

S. M. Patel

Department of Mathematics, Sardar Patel University, Vallabh Vidyanagar, Gujarat, India


Abstract.   An operator A on a complex Hilbert space H is called a quasi-isometry if A*2 A2 = A* A. In the present article, some structural properties of quasi-isometries are established with the help of operator matrix representation.

2000 Mathematics Subject Classification.   47A62, 47A63, 47B20.

Key words and phrases.   Hilbert space, isometry, spectrum, operator matrix.


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