-
specifically in
functional analysis, a
Banach space (pronounced [ˈbanax]) is a
complete normed vector space. Thus, a
Banach space is a
vector space with a metric...
- Look up
Banach in Wiktionary, the free dictionary.
Banach (pronounced [ˈbanaç] in German, [ˈbanax] in
Slavic Languages, and /ˈbɛnɛk/ or /ˈbɒnɒk/ in English)...
- The
Banach–Tarski
paradox is a
theorem in set-theoretic geometry,
which states the following:
Given a
solid ball in three-dimensional space,
there exists...
- that bear
Banach's name
include Banach spaces,
Banach algebras,
Banach measures, the
Banach–Tarski paradox, the Hahn–
Banach theorem, the
Banach–Steinhaus...
- In mathematics,
especially functional analysis, a
Banach algebra,
named after Stefan Banach, is an ****ociative
algebra A {\displaystyle A} over the real...
- The Hahn–
Banach theorem is a
central tool in
functional analysis. It
allows the
extension of
bounded linear functionals defined on a
vector subspace of...
- mathematics, the
Banach fixed-point
theorem (also
known as the
contraction mapping theorem or
contractive mapping theorem or
Banach–Caccioppoli theorem)...
- analysis, a
Banach limit is a
continuous linear functional ϕ : ℓ ∞ → C {\displaystyle \phi :\ell ^{\infty }\to \mathbb {C} }
defined on the
Banach space ℓ...
-
General Banach spaces are more
complicated than
Hilbert spaces, and
cannot be
classified in such a
simple manner as those. In particular, many
Banach spaces...
- open
mapping theorem, also
known as the
Banach–Schauder
theorem or the
Banach theorem (named
after Stefan Banach and
Juliusz Schauder), is a fundamental...
