1. Banach - Adjective
2. Banach - Proper noun
Banach (not comparable)
being a Banach space
Banach (plural Banaches)
A surname.
A Banach space isomorphic to all its infinite-dimensional closed subspaces is isomorphic to a separable Hilbert space. Source: Internet
A Banach space can be canonically identified with a subspace of its bidual, which is the dual of its dual space. Source: Internet
After Banach solved some mathematics problems which Steinhaus considered difficult, they published their first joint work. Source: Internet
After the Red Army recaptured Lviv in the Lvov–Sandomierz Offensive of 1944, Banach returned to the University and helped re-establish it after the war years. Source: Internet
An infinite-dimensional Banach space X is said to be homogeneous if it is isomorphic to all its infinite-dimensional closed subspaces. Source: Internet
An important object of study in functional analysis are the continuous linear operators defined on Banach and Hilbert spaces. Source: Internet