Hilbert space

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Related to Hilbert spaces: Banach spaces
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Noun1.Hilbert space - a metric space that is linear and complete and (usually) infinite-dimensional
metric space - a set of points such that for every pair of points there is a nonnegative real number called their distance that is symmetric and satisfies the triangle inequality
Translations
HilbertraumHilbert-Raum
Hilbertin avaruus
espace de Hilbert
Hilbert-tér
spazio di Hilbertspazio hilbertiano
ヒルベルト空間
Hilbertrum
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References in periodicals archive ?
There is a considerable investigation on CFP in the setting of Hilbert spaces which captures applications in various disciplines such as image restoration [8,11], computer tomography [18], and radiation therapy treatment planning [6].
We will denote infinite dimensional Hilbert spaces by H and their inner product with < .
A quantum screen network (QS) can be defined as a Functor from the edge screen network ES to the category of Hilbert spaces.
Zhou, Supercyclic tuples of the adjoint weighted composition operators on Hilbert spaces, Bull.
Here in this paper we wish to study the question of existence of optimal controls as well as present necessary conditions of optimality for the class of mean-field evolution equations on infinite dimensional Hilbert spaces.
j] (j = 1,2) be separable Hilbert spaces with scalar products [<x, x>.
Various types of controllability of linear abstract dynamical systems defined in a Banach or Hilbert spaces have been recently extensively explored by several authors (see e.
Generalizations to infinite-dimensional Hilbert spaces have been considered in [1,5, 7, 8,11, 13, 18, 19] and the references therein; see also the references in [12].
The course was on Orthogonal Series, in fact it was more linked to his monograph on Hilbert Spaces [6], published in 1956, with a Note by I.