Categorical bases in Banach spaces
Martin, Jack Cornelius
Martin, Jack Cornelius
Citations
Altmetric:
Soloist
Composer
Publisher
Date
1970
Additional date(s)
Abstract
The primary purpose of this paper is to study the relationships between categorical bases and classical (Schauder) bases in Banach spaces. Several types of categorical bases are investigated in categories of Hausdorff linear topological spaces and continuous linear functions. Several characterizations of categorical bases are derived in the category of all Banach spaces and continuous linear maps, and an isomorphism theorem is obtained which guarantees preservation of certain types of categorical bases under equivalences.
Contents
Subject
Subject(s)
Banach spaces
Research Projects
Organizational Units
Journal Issue
Genre
Dissertation
Description
Format
iii, 71 leaves, bound
Department
Mathematics