Banach space

noun (1)
Ba·​nach space | \ ˈbä-ˌnäk- How to pronounce Banach space (audio) , -nək-, -ˌnäḵ-, -nəḵ-\

Definition of Banach space

 (Entry 1 of 2)

: a complete normed vector space

Banach algebra

noun (2)
Ba·​nach algebra | \ ˈbä-ˌnäk-, -nək-, -ˌnäḵ-, -nəḵ-\

Definition of Banach algebra (Entry 2 of 2)

: a linear algebra over the field of real or complex numbers that is also a Banach space for which the norm of the product of x and y is less than or equal to the product of the norm of x and the norm of y for all x and y belonging to it

First Known Use of Banach space

Noun (1)

1941, in the meaning defined above

Noun (2)

1944, in the meaning defined above

History and Etymology for Banach space

Noun (1)

Stefan Banach †1945 Polish mathematician

Noun (2)

after Stefan Banach †1945 Polish mathematician

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Dictionary Entries near Banach space

ban

Banaba

Banach algebra

Banach space

Banahao, Mount

banak

banal

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The first known use of Banach space was in 1941

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