In functional analysis, a branch of mathematics, the Hellinger–Toeplitz theorem states that an everywhere-defined symmetric operator on a Hilbert space...

(1st edition, 1963) Calderón–Toeplitz operator Silverman–Toeplitz theorem Hellinger–Toeplitz theorem Toeplitz algebra Toeplitz matrix Inscribed square problem...

A:\operatorname {Dom} (A)\to H} a symmetric operator. According to Hellinger–Toeplitz theorem, if Dom ⁡ ( A ) = H {\displaystyle \operatorname {Dom} (A)=H}...

controllers Hellinger–Toeplitz theorem, an everywhere defined symmetric operator on a Hilbert space is bounded Silverman–Toeplitz theorem, characterizing...

(real analysis) Hellinger–Toeplitz theorem (functional analysis) Hilbert–Schmidt theorem (functional analysis) Hille–Yosida theorem (functional analysis)...

integral Euclidean space Fundamental theorem of Hilbert spaces Gram–Schmidt process Hellinger–Toeplitz theorem Hilbert space Inner product space Legendre...

probability. His works include Hellinger distance and Hellinger integral which were introduced by him in 1909. Ernst Hellinger was born on September 30, 1883...

defined everywhere is closed, therefore bounded, which is the Hellinger–Toeplitz theorem. By definition, an operator T is an extension of an operator S...

fact that A {\displaystyle A} is bounded now follows from the Hellinger–Toeplitz theorem. This property does not hold on H R . {\displaystyle H_{\mathbb...

dom ⁡ ( A ) = H {\displaystyle \operatorname {dom} (A)=H} , the Hellinger-Toeplitz theorem says that A {\displaystyle A} is a bounded operator, in which...

combinatorics, Diophantine geometry, probabilistic number theory Ernst Hellinger (1883–1950), mathematician Eduard Helly (1884–1943), mathematician Dagmar...