Invariance of numerical range under isometric transformation

Citation:
WANAMBISI MRWAFULAATHURW. "Invariance of numerical range under isometric transformation.". In: African Journal Of Mathematics and Computer Science Research. Academic Journals; 2010.

Abstract:

In this paper,we look at some properties of isometries and conditionsfor a quasi-affinity to be unitary.Among other results it is proved that if Ais a partial isometry such that if zero belongs to the numerical range of A or its positve integral powers then A is unitary

Notes:

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