Banach

See also: banach

English

Pronunciation

• (Received Pronunciation) IPA^(key): /ˈba.nak/, /ˈba.nax/

Adjective

Banach (not comparable)

1. being a Banach space
   • 2001, V. K. Krishnan, Textbook of Functional Analysis: A Problem-oriented Approach, PHI Learning Pvt. Ltd., →ISBN, page 73:

     To show that Y is Banach, let {y_n} be a Cauchy sequence in Y.

   • 2012, A.Y. Helemskii, The Homology of Banach and Topological Algebras, Springer Science & Business Media, →ISBN, page 23:

     ... but if E is Banach, then ...

   • 2012, Michael J. Field, Differential Calculus and Its Applications, Courier Corporation, →ISBN, page 51:

     ... Try to prove that if L(E, F) is Banach, then F is Banach, ...

Proper noun

Banach (plural Banaches)

1. A surname.

Statistics

• According to the 2010 United States Census, Banach is the 14427^th most common surname in the United States, belonging to 2071 individuals. Banach is most common among White (95.41%) individuals.

Czech

Etymology

Derived from Polish banach.

Pronunciation

• IPA^(key): [ˈbanax]

Proper noun

Banach m anim (female equivalent Banachová)

1. a male surname from Polish

Declension

Declension of Banach (velar masculine animate)

	singular	plural
nominative	Banach	Banachové
genitive	Banacha	Banachů
dative	Banachovi	Banachům
accusative	Banacha	Banachy
vocative	Banachu	Banachové
locative	Banachovi	Banaších
instrumental	Banachem	Banachy

Further reading

• “Banach”, in Příjmení.cz (in Czech)

Polish

Etymology

From banach.

Pronunciation

• IPA^(key): /ˈba.nax/
• Rhymes: -anax
• Syllabification: Ba‧nach
• Homophone: banach

Proper noun

Banach m pers

1. a male surname

Declension

Declension of Banach

	singular	plural
nominative	Banach	Banachowie
genitive	Banacha	Banachów
dative	Banachowi	Banachom
accusative	Banacha	Banachów
instrumental	Banachem	Banachami
locative	Banachu	Banachach
vocative	Banachu	Banachowie

Proper noun

Banach f (indeclinable)

1. a female surname

Further reading

• Banach in Polish dictionaries at PWN
• “Banach”, in Internetowy słownik nazwisk w Polsce [Internet dictionary of surnames in Poland], 2022