Banach spaces: The Hahn-Banach theorem

Michael I Moore, Tennessee State University

Abstract

Banach spaces are one of many major topics of study in Functional Analysis. A Banach space is a complete normed vector space B with a norm 11-11. This research paper will explain what a Banach space is and show some examples of the Banach space; state the Hann-Banach Theorem and then we will end with a proof of the theorem. ^

Subject Area

Mathematics

Recommended Citation

Michael I Moore, "Banach spaces: The Hahn-Banach theorem" (2009). ETD Collection for Tennessee State University. Paper AAI1465219.
http://digitalscholarship.tnstate.edu/dissertations/AAI1465219

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