Translatable radii of an operator in the direction of another operator II |
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Authors: | Kallol Paul |
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Institution: | 1.Department of Mathematics,Jadavpur University,Kolkata,India |
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Abstract: | One of the couple of translatable radii of an operator in the direction of another operator introduced in earlier work PAUL,
K.: Translatable radii of an operator in the direction of another operator, Scientae Mathematicae 2 (1999), 119–122] is studied in details. A necessary and sufficient condition for a unit vector f to be a stationary vector of the generalized eigenvalue problem Tf = λAf is obtained. Finally a theorem of Williams (WILLIAMS, J. P.: Finite operators, Proc. Amer. Math. Soc. 26 (1970), 129–136]) is generalized to obtain a translatable radius of an operator in the direction of another operator. |
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