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Publication Detailed Description
Separation Theorems in Hilbert Spaces as Bases of Convex Programming
Document Title
EasyChair Preprint Nº 7884
Year (definitive publication)
2022
Language
English
Country
United Kingdom
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Abstract
Separation theorems are the bases of convex programming. They are important consequences of Hahn-Banach theorem. This work begins considering vector spaces in broad sense. Then normed spaces and finally Hilbert spaces. It ends with the consideration of these results in convex programming, an important quantitative tool in operations research, finance, management and economics.
Acknowledgements
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Keywords
convex programming,Hahn-Banach theorem,Kuhn-Tucker Theorem,Separation Theorems
Fields of Science and Technology Classification
- Mathematics - Natural Sciences
- Economics and Business - Social Sciences
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