- mathematics,
specifically real
analysis and
functional analysis, the
Kirszbraun theorem states that if U is a
subset of some
Hilbert space H1, and H2...
- Mojżesz
David Kirszbraun (1903–1942) was a
Polish mathematician,
mostly known for the
Kirszbraun theorem on
extensions of
Lipschitz maps. This theorem...
- M → R that
extend f and have the same
Lipschitz constant as f (see also
Kirszbraun theorem). An
extension is
provided by f ~ ( x ) := inf u ∈ U { f ( u )...
- \|a_{i}-a_{j}\|=2\leq \|x_{i}-x_{j}\|} this map is 1-Lipschitz and by the
Kirszbraun theorem it
extends to a 1-Lipschitz map that is
globally defined; in particular...
-
results in
other mathematical areas like the Hahn–Banach theorem, the
Kirszbraun theorem, Tychonoff's theorem, the
existence of a
Hamel basis for every...
- Kirchberger's
theorem (discrete geometry) Kirchhoff's
theorem (graph theory)
Kirszbraun theorem (Lipschitz continuity)
Kleene fixed-point
theorem (order theory)...
- more complicated; the
first non-trivial
result in this
direction is the
Kirszbraun theorem.
Every special uniformly continuous real-valued
function f : X...
- any
domain Ω {\displaystyle \Omega } in Rn with
smooth boundary. The
Kirszbraun theorem gives extensions of
Lipschitz functions.
Tietze extension theorem –...
- matters,
education and philanthropy. In 1924, the
Agudist candidate,
Eliahu Kirszbraun, was
elected as
president and Jakób Trokenheim,
another Agudist, as vice-president...
- (1894–1959),
probability theory David Khorol (1920–1990),
mathematician Mojżesz
Kirszbraun (1903–1942),
mathematical analysis Sergiu Klainerman (born 1950), hyperbolic...