Hellinger-Toeplitz theorem

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• Hellinger–Toeplitz theorem — In functional analysis, a branch of mathematics, the Hellinger–Toeplitz theorem states that an everywhere defined symmetric operator on a Hilbert space is bounded. By definition, an operator A is symmetric if : langle A x | y angle = langle x | A …   Wikipedia

• Otto Toeplitz — Pour les articles homonymes, voir Toeplitz. Otto Toeplitz Otto Tœplitz (à gauche) et Alexander Ostrowski …   Wikipédia en Français

• Otto Toeplitz — and Alexander Ostrowski. Otto Toeplitz (1 August 1881, Breslau – 15 February 1940, Jerusalem) was a German Jewish mathematician working in functional analysis. Contents …   Wikipedia

• Self-adjoint operator — In mathematics, on a finite dimensional inner product space, a self adjoint operator is one that is its own adjoint, or, equivalently, one whose matrix is Hermitian, where a Hermitian matrix is one which is equal to its own conjugate transpose.… …   Wikipedia

• Opérateur adjoint — En mathématiques l adjoint d un opérateur, quand il existe, est un nouvel opérateur défini sur un espace vectoriel sur le corps des nombres réels ou complexes, muni d un produit scalaire. Un tel espace est qualifié de préhilbertien. Si l… …   Wikipédia en Français

• List of theorems — This is a list of theorems, by Wikipedia page. See also *list of fundamental theorems *list of lemmas *list of conjectures *list of inequalities *list of mathematical proofs *list of misnamed theorems *Existence theorem *Classification of finite… …   Wikipedia

• List of mathematics articles (H) — NOTOC H H cobordism H derivative H index H infinity methods in control theory H relation H space H theorem H tree Haag s theorem Haagerup property Haaland equation Haar measure Haar wavelet Haboush s theorem Hackenbush Hadamard code Hadamard… …   Wikipedia

• List of functional analysis topics — This is a list of functional analysis topics, by Wikipedia page. Contents 1 Hilbert space 2 Functional analysis, classic results 3 Operator theory 4 Banach space examples …   Wikipedia

• Extensions of symmetric operators — In functional analysis, one is interested in extensions of symmetric operators acting on a Hilbert space. Of particular importance is the existence, and sometimes explicit constructions, of self adjoint extensions. This problem arises, for… …   Wikipedia

• Liste mathematischer Sätze — Inhaltsverzeichnis A B C D E F G H I J K L M N O P Q R S T U V W X Y Z A Satz von Abel Ruffini: eine allgemeine Polynomgleichung vom …   Deutsch Wikipedia