In mathematics, a Hilbert–Schmidt operator, named after David Hilbert and Erhard Schmidt, is a bounded operator A : H → H {\displaystyle A\colon H\to...
9 KB (1,391 words) - 12:39, 9 September 2024
In mathematics, a Hilbert–Schmidt integral operator is a type of integral transform. Specifically, given a domain Ω in n-dimensional Euclidean space Rn...
3 KB (369 words) - 08:07, 10 February 2024
In mathematics, Hilbert–Schmidt may refer to a Hilbert–Schmidt operator; a Hilbert–Schmidt integral operator; the Hilbert–Schmidt theorem. This disambiguation...
196 bytes (52 words) - 18:36, 28 December 2019
Hilbert operator may refer to: The epsilon operator in Hilbert's epsilon calculus The Hilbert–Schmidt operators on a Hilbert space Hilbert–Schmidt integral...
259 bytes (63 words) - 20:35, 6 November 2019
point of view in the first decade of the 20th century by David Hilbert, Erhard Schmidt, and Frigyes Riesz. They are indispensable tools in the theories...
128 KB (17,488 words) - 00:05, 24 September 2024
Trace class (redirect from Trace class operator)
integral operator. T is equal to the composition of two Hilbert-Schmidt operators. | T | {\textstyle {\sqrt {|T|}}} is a Hilbert-Schmidt operator. Let T...
18 KB (3,152 words) - 16:49, 8 May 2024
Schatten norm (category Operator theory)
the trace class norm and the Hilbert–Schmidt norm. Let H 1 {\displaystyle H_{1}} , H 2 {\displaystyle H_{2}} be Hilbert spaces, and T {\displaystyle T}...
6 KB (1,070 words) - 04:56, 5 December 2023
bounded operator T : H 1 ⊗ H 2 → K {\displaystyle T:H_{1}\otimes H_{2}\to K} such that L = T p . {\displaystyle L=Tp.} A weakly Hilbert-Schmidt mapping...
12 KB (2,141 words) - 20:53, 17 April 2024
operator on Hilbert space is an extension of the concept of a matrix acting on a finite-dimensional vector space; in Hilbert space, compact operators...
29 KB (4,850 words) - 12:50, 30 April 2024
twentieth century. Schmidt was born in Tartu (‹See Tfd›German: Dorpat), in the Governorate of Livonia (now Estonia). His advisor was David Hilbert and he was...
5 KB (420 words) - 16:00, 12 July 2024