Translatable radii of an operator in the direction of another operator II

Rok, strany: 2010, 121 - 128

One of the couple of translatable radii of an operator in the direction of another operator introduced in earlier work [PAUL, K.: \textit{Translatable radii of an operator in the direction of another operator}, Scientae Mathematicae \textbf{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 = λ A f $ is obtained. Finally a theorem of Williams ([WILLIAMS, J. P.: \textit{Finite operators}, Proc. Amer. Math. Soc. \textbf{26} (1970), 129–136]) is generalized to obtain a translatable radius of an operator in the direction of another operator.

ISO 690:

Paul, K. 2010. Translatable radii of an operator in the direction of another operator II. In Mathematica Slovaca, vol. 60, no.1, pp. 121-128. 0139-9918. DOI: https://doi.org/10.2478/s12175-009-0171-y

APA:

Paul, K. (2010). Translatable radii of an operator in the direction of another operator II. Mathematica Slovaca, 60(1), 121-128. 0139-9918. DOI: https://doi.org/10.2478/s12175-009-0171-y