3 papers
math.FA2020
Local approximate symmetry of Birkhoff-James orthogonality in normed linear spaces
Jacek Chmieliński, Divya Khurana, Debmalya Sain
Two different notions of approximate Birkhoff-James orthogonality in nor\-med linear spaces have been introduced by Dragomir and Chmie\-liń\-ski. In the present paper we consider a…
math.FA2020
Continuity and Discontinuity of Seminorms on Infinite-Dimensional Vector Spaces. II
Jacek Chmieliński, Moshe Goldberg
In this paper we extend our findings in [3] and answer further questions regarding continuity and discontinuity of seminorms on infinite-dimensional vector spaces.
math.FA2019
Continuity and Discontinuity of Seminorms on Infinite-Dimensional Vector Spaces
Jacek Chmieliński, Moshe Goldberg
Let be a seminorm on an infinite-dimensional real or complex vector space . Our purpose in this note is to study the continuity and discontinuity properties of with resp…