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bn:00846059n
Noun Concept
Categories: Operator theory, C*-algebras, Theoretical physics
EN
Hilbert C*-module  Hilbert module
EN
Hilbert C*-modules are mathematical objects that generalise the notion of Hilbert spaces, in that they endow a linear space with an "inner product" that takes values in a C*-algebra. Wikipedia
Definitions
Relations
Sources
EN
Hilbert C*-modules are mathematical objects that generalise the notion of Hilbert spaces, in that they endow a linear space with an "inner product" that takes values in a C*-algebra. Wikipedia
complex module E over a C*-algebra A equipped with an A-sesquilinear and complex-sesquilinear map ⟨–,–⟩: E×E→A that is nonnegative nondegenerate and satisfies the Cauchy–Schwartz inequality Wikidata
IS A
category of modules
complex vector space
DISCOVERER OR INVENTOR
Irving Kaplansky
NAMED AFTER
Hilbert space
Wikipedia
EN
Hilbert C*-module
Wikidata
EN
Hilbert C*-module
Wikipedia Redirections
EN
Hilbert module

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