Several theorems in mathematical analysis bear the name of Giuseppe Vitali:
Vitali covering theorem in the foundations of measure theory
Various theorems concerning convergence of families of measurable and holomorphic functions, such as Vitali convergence theorem
Vitali also proved the existence of non-measurable subsets of the real numbers, see Vitali set
Topics referred to by the same term
This disambiguation page lists mathematics articles associated with the same title. If an internal link led you here, you may wish to change the link to point directly to the intended article.
Several theorems in mathematical analysis bear the name of Giuseppe Vitali: Vitali covering theorem in the foundations of measure theory Various theorems concerning...
a Vitali set is an elementary example of a set of real numbers that is not Lebesgue measurable, found by Giuseppe Vitali in 1905. The Vitalitheorem is...
analysis and measure theory, the Vitali convergence theorem, named after the Italian mathematician Giuseppe Vitali, is a generalization of the better-known...
the proof of the Vitali covering theorem. The covering theorem is credited to the Italian mathematician Giuseppe Vitali. The theorem states that it is...
from many of the conventional systems of axioms for set theory. The Vitalitheorem, which follows from the axiom, states that there exist subsets of R...
integrability of f . {\displaystyle f.} In fact, Lebesgue's Theorem (also named Lebesgue-Vitali) theorem) states that f {\displaystyle f} is Riemann integrable...
composer Ali Vitali (b. 1990), American journalist Vitalii Vitali Island, Philippines Vitalitheorem (disambiguation) This page or section lists people that...
be relaxed to uniform integrability of the sequence (fn), see Vitali convergence theorem. Remark 4. While f {\displaystyle f} is Lebesgue integrable, it...
the Lebesgue-Vitalitheorem (of characterization of the Riemann integrable functions). It has been proven independently by Giuseppe Vitali and by Henri...
is a Borel subset of Baire space is determined. Measure theory The Vitalitheorem on the existence of non-measurable sets, which states that there exists...
Vitali Davidovich Milman (Hebrew: ויטלי מילמן; Russian: Виталий Давидович Мильман) (born 23 August 1939) is a mathematician specializing in analysis. He...
In mathematics, covering theorem can refer to Besicovitch covering theorem Jensen's covering theoremVitali covering lemma This disambiguation page lists...
interpolation. The weak (1,1) estimate can be obtained from the Vitali covering lemma. The theorem was first announced by Marcinkiewicz (1939), who showed this...
taken to be arbitrarily small, and the theorem follows. The Vitali covering lemma is vital to the proof of this theorem; its role lies in proving the estimate...
pyramidologist Evgeny Golod (1935–2018), Russian mathematician Golod–Shafarevich theoremVitali Golod (born 1971), Israeli chess player All pages with titles containing...
example to sets of ordinal numbers or cardinal numbers. Its correctness is a theorem of ZFC. Let P ( α ) {\displaystyle P(\alpha )} be a property defined for...