Published August 1985
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On a theorem of Gel'fand and a new proof of the Orlicz-Pettis theorem
Description
In this note a theorem of Gel'fand on the weak continuous functions defined on topological spaces with values in Banach spaces is extended to the case of functions with values in F-spaces. Using this extension we gave a new proof of Orlicz-Pettis theorem in F-spaces with basis. (author)
Availability note (English)
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17028976.pdf
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Additional details
Publishing Information
- Imprint Pagination
- 6 p.
- Report number
- IC--85/190
INIS
- Country of Publication
- International Atomic Energy Agency (IAEA)
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 17028976
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- BANACH SPACE; CONVERGENCE; FUNCTIONS; HAUSDORFF SPACE
- Descriptors DEC
- MATHEMATICAL SPACE; SPACE
Optional Information
- Notes
- 6 refs.