A new proof of the Pythagorean theorem and its application to element decompositions in topological algebras

DOI10.1155/2012/353917zbMath1261.46014OpenAlexW2134515629WikidataQ58705770 ScholiaQ58705770MaRDI QIDQ456490

Fred Greensite

Publication date: 16 October 2012

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/353917

zbMATH Keywords

topological algebraPythagorean theorem

Mathematics Subject Classification ID

Normed linear spaces and Banach spaces; Banach lattices (46B99) Elementary problems in Euclidean geometries (51M04)

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Cites Work

• Semi-indefinite inner product and generalized Minkowski spaces
• A taste of Jordan algebras
• The octonions
• Premanifolds
• Classes of Semi-Inner-Product Spaces

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