- Look up
Banach in Wiktionary, the free dictionary.
Banach (pronounced
German pronunciation: ['banax] in German, [ˈbanax] in
Slavic Languages, and /ˈbɛnɛk/...
- 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...
-
functional analysis, a
Banach space (/ˈbɑː.nʌx/,
Polish pronunciation: [ˈba.nax]) is a
complete normed vector space. Thus, a
Banach space is a
vector space...
- that bear
Banach's name
include Banach spaces,
Banach algebras,
Banach measures, the
Banach–Tarski paradox, the Hahn–
Banach theorem, the
Banach–Steinhaus...
- In
functional analysis, the Hahn–
Banach theorem is a
central result that
allows the
extension of
bounded linear functionals defined on a
vector subspace...
- mathematics, the
Banach fixed-point
theorem (also
known as the
contraction mapping theorem or
contractive mapping theorem or
Banach–Caccioppoli theorem)...
- In the
mathematical discipline of
measure theory, a
Banach measure is a
certain way to ****ign a size (or area) to all
subsets of the
Euclidean plane, consistent...
-
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...
-
boundedness principle or
Banach–Steinhaus
theorem is one of the
fundamental results in
functional analysis.
Together with the Hahn–
Banach theorem and the open...
- open
mapping theorem, also
known as the
Banach–Schauder
theorem or the
Banach theorem (named
after Stefan Banach and
Juliusz Schauder), is a fundamental...
