Level numbers of a bounded linear operator between normed linear spaces and singular value decomposition revisited

Debmalya Sain, Saikat Roy, Ryotaro Tanaka

研究成果: Article査読

抄録

We introduce the notion of level numbers of a bounded linear operator between normed linear spaces, as a generalization of the singular values of an operator between inner product spaces. We study the geometric and the analytic properties of the level numbers, in connection with Birkhoff–James orthogonality and norm optimization problems. We also illustrate the similarities and the differences between the level numbers and the singular values of an operator. As an application of the present study, we obtain a new and elementary approach to the singular value decomposition of matrices.

本文言語English
ジャーナルLinear and Multilinear Algebra
DOI
出版ステータスAccepted/In press - 2020

フィンガープリント 「Level numbers of a bounded linear operator between normed linear spaces and singular value decomposition revisited」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。

引用スタイル