On some open problems involving range of vector measures | Zendy

M. A. Sofi | Zendy

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On some open problems involving range of vector measures

Author(s) -

M. A. Sofi

Publication year - 2012

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil1205037s

Subject(s) - mathematics , banach space , range (aeronautics) , connection (principal bundle) , vector space , space (punctuation) , normed vector space , pure mathematics , vector bundle , algebra over a field , mathematical analysis , calculus (dental) , geometry , computer science , medicine , materials science , dentistry , composite material , operating system

The close connection between the geometry of a Banach space and the properties of vector measures acting into it is now fairly well-understood. The present paper is devoted to a discussion of some of these developments and certain problems arising naturally in this circle of ideas which are either open or have been partially resolved. Emphasis shall be laid mainly on those aspects of this theory which involve properties of the range of these vector measures.

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