#### 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} *T*^{2} =
*T** *T*.

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

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

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