Glasnik Matematicki, Vol. 37, No.1 (2002), 141-145.


S. M. Patel

Department of Mathematics, Sardar Patel University, Vallbh Vidyanagar - 388120, Gujarat, India

Abstract.   An operator T on a complex Hilbert space is called a 2-isometry if

T*2 T2 - 2T* T + I = 0.

Our underlying purpose in this article is to investigate some algebraic and spectral properties of 2-isometries.

2000 Mathematics Subject Classification.   47A62, 47A63.

Key words and phrases.   Hilbert space, 2-isometry, spectrum.

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