Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5774749 | Journal of Mathematical Analysis and Applications | 2017 | 20 Pages |
Abstract
Consider a complex normed linear space (X,ââ
â), and let Ï,ÏâX with Ïâ 0. Motivated by recent works on rectangular matrices and on normed linear spaces, we study the Birkhoff-James ε-orthogonality set of Ï with respect to Ï, give an alternative definition for this set, and explore its rich structure. We also introduce the Birkhoff-James ε-orthogonality set of polynomials in one complex variable whose coefficients are members of X, and survey and record extensions of results on matrix polynomials to these vector-valued polynomials.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Vasiliki Panagakou, Panayiotis Psarrakos, Nikos Yannakakis,