On the connectedness of isomorphism classes

descriptionPublicationkeyboard_double_arrow_right Article 01 Mar 1970 Germany English Publisher:Springer Science and Business Media LLCJournal:Manuscripta Mathematica, volume 3, pages 1-5 (issn: 0025-2611, eissn: 1432-1785,

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Authors: McGuigan, Robert A.;

doi: 10.1007/bf01168459

On the connectedness of isomorphism classes

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Abstract

This paper is concerned with some topological properties of a notion of distance between normed linear spaces which is due to Banach and Mazur [1], We are interested in a pseudometric space associated naturally with this notion of distance, and our main result is that this pseudometric space is always pathwise connected.

Country

Germany

Related Organizations

University of Massachusetts Amherst
United States
University of Massachusetts System
United States
DigiZeitschriften
Germany

Keywords

510.mathematics, Article, functional analysis

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