A strong version of the Birkhoff--James orthogonality in Hilbert $C^*$-modules

Inner product modules over 𝐵*-algebras

William L. Paschke · Transactions of the American Mathematical Society · 1973 · 540 citations · Full text

Natural Sciences, Mathematics, Algebra +6

Orthogonality and linear functionals in normed linear spaces

Robert C. James · Transactions of the American Mathematical Society · 1947 · 517 citations · Full text

Natural Sciences, Property Law, Space Theory +8

Orthogonality in linear metric spaces

Garrett Birkhoff · Duke Mathematical Journal · 1935 · 478 citations

Natural Sciences, Mathematics, Geometry +8

Modules Over Operator Algebras

Irving Kaplansky · American Journal of Mathematics · 1953 · 388 citations

Natural Sciences, Mathematics, Algebra +10

Orthogonality in normed linear spaces

Robert C. James · Duke Mathematical Journal · 1945 · 311 citations

Natural Sciences, Architectural Representation, Space Theory +7