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A Solution of the Matrix Problem for Rickart C *‐Algebras
Author(s) -
Ara Pere,
Goldstein Dmitry
Publication year - 1993
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.19931640118
Subject(s) - mathematics , algebra over a field , matrix (chemical analysis) , pure mathematics , decomposition , polar decomposition , matrix algebra , polar , chemistry , physics , eigenvalues and eigenvectors , organic chemistry , chromatography , quantum mechanics , astronomy
We prove that matrix algebras over a Rickart C *‐algebra are also Rickart C *‐algebras. As a consequence of this, every Rickart C *‐algebra is an UMF ‐algebra and satisfies polar decomposition.