A vector-valued measure as a basis of a Banach space.

Date

1998-02-01

Author

Zheltukhın, Kostyantyn

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A new notion of the basic measure is introdused. The vector-valued measures which are basic measures are described. It is proved that the Banach space has a basic measure iff it is isomorphic to the order continuous Banach lattice with a weak unit. The connection between the properties of the Banach space and those of the basic measure is investigated.

URI

https://hdl.handle.net/11511/84832
http://jmage.ilt.kharkov.ua/

Journal

Journal of Mathematical Physics, Analysis, Geometry

Collections

Department of Mathematics, Article

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Citation Formats

K. Zheltukhın, “A vector-valued measure as a basis of a Banach space.,” Journal of Mathematical Physics, Analysis, Geometry, pp. 25–34, 1998, Accessed: 00, 2021. [Online]. Available: https://hdl.handle.net/11511/84832.