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- Min-max_theorem abstract "In linear algebra and functional analysis, the min-max theorem, or variational theorem, or Courant–Fischer–Weyl min-max principle, is a result that gives a variational characterization of eigenvalues of compact Hermitian operators on Hilbert spaces. It can be viewed as the starting point of many results of similar nature.This article first discusses the finite-dimensional case and its applications before considering compact operators on infinite-dimensional Hilbert spaces. We will see that for compact operators, the proof of the main theorem uses essentially the same idea from the finite-dimensional argument.In the case that the operator is non-Hermitian, the theorem provides an equivalent characterization of the associated singular values. The min-max theorem can be extended to self adjoint operators that are bounded below.".
- Min-max_theorem wikiPageID "694952".
- Min-max_theorem wikiPageRevisionID "605755345".
- Min-max_theorem hasPhotoCollection Min-max_theorem.
- Min-max_theorem subject Category:Articles_containing_proofs.
- Min-max_theorem subject Category:Functional_analysis.
- Min-max_theorem subject Category:Theorems_in_functional_analysis.
- Min-max_theorem type Abstraction100002137.
- Min-max_theorem type Communication100033020.
- Min-max_theorem type Message106598915.
- Min-max_theorem type Proposition106750804.
- Min-max_theorem type Statement106722453.
- Min-max_theorem type Theorem106752293.
- Min-max_theorem type TheoremsInFunctionalAnalysis.
- Min-max_theorem comment "In linear algebra and functional analysis, the min-max theorem, or variational theorem, or Courant–Fischer–Weyl min-max principle, is a result that gives a variational characterization of eigenvalues of compact Hermitian operators on Hilbert spaces. It can be viewed as the starting point of many results of similar nature.This article first discusses the finite-dimensional case and its applications before considering compact operators on infinite-dimensional Hilbert spaces.".
- Min-max_theorem label "Min-max theorem".
- Min-max_theorem label "Теорема Куранта — Фишера".
- Min-max_theorem sameAs m.033fm1.
- Min-max_theorem sameAs Q4454958.
- Min-max_theorem sameAs Q4454958.
- Min-max_theorem sameAs Min-max_theorem.
- Min-max_theorem wasDerivedFrom Min-max_theorem?oldid=605755345.
- Min-max_theorem isPrimaryTopicOf Min-max_theorem.