local lemma Nakayama's lemma Poincaré's lemma Riesz's lemma Schur's lemma Schwarz's lemma Sperner's lemma Urysohn's lemma Vitali covering lemma Yoneda's...

Zorn's lemma, also known as the Kuratowski–Zorn lemma, is a proposition of set theory. It states that a partially ordered set containing upper bounds for...

on the following technical lemma, sometimes referred to as the Shen criterion in the literature. Lemma Let (G, G+) be a Riesz group, ϕ: (Zk, Zk+) → (G,...

and Riesz (1907). The general result, that the dual of a Hilbert space is identified with the Hilbert space itself, can be found in Riesz (1934). von Neumann...

Hausdorff maximal principle is an alternate and earlier formulation of Zorn's lemma proved by Felix Hausdorff in 1914 (Moore 1982:168). It states that in any...

category of commutative C*-algebras and that of compact Hausdorff spaces. The Riesz representation theorem states that a Hilbert space, such as the square-integrable...

Prékopa–Leindler inequality Rayleigh–Faber–Krahn inequality Remez inequality Riesz rearrangement inequality Schur test Shapiro inequality Sobolev inequality...

hypotheses List of inequalities Lists of integrals List of laws List of lemmas List of limits List of logarithmic identities List of mathematical functions...

form an orthomodular lattice. Pseudocomplemented lattice Grätzer (1971), Lemma I.6.1, p. 47. Rutherford (1965), Theorem 9.3 p. 25. Stern, Manfred (1999)...

quasitrace Quasitrace. Radon See Radon measure. Riesz decomposition Riesz decomposition. Riesz's lemma Riesz's lemma. reflexive A reflexive space is a topological...