Define Hilbert space. Hilbert space synonyms, Hilbert space pronunciation, Hilbert space translation, English dictionary definition of Hilbert space. Noun 1. Hilbert space - a metric space that is linear and complete and infinite-dimensional metric space
The meaning of HILBERT SPACE is a vector space for which a scalar product is defined and in which every Cauchy sequence composed of elements in the space converges to a limit in the space.
The Crucial Years and the Definition of Hilbert Spacedoi:10.1016/S0304-0208(08)71852-8ELSEVIERNorth-Holland Mathematics Studies
The projection theorem expresses a central feature of classical Hilbert space. Do other infinite dimensional sesquilinear spaces share this property? We show here that this is not the case for several prominent candidates; in particular Kalish's p-adic Hilbert spaces, Springers non archimedean norm...
Hilbert space). [from 20thc.] Functional analysis is best approached through a sound knowledge of Hilbert space theory. (countable, figuratively) A marketplace for goods or services. innovation in the browser space Quotations For more examples of usage of this term, see Citations:...
Related to Hilbert: Hilbert space, David Hilbert, Hilbert transformHil·bert (hĭl′bərt), David 1862-1943. German mathematician who wrote Foundations of Geometry (1899) and made significant contributions to several other branches of mathematics. American Heritage® Dictionary of the English Lan...
We focus on the issue of proper definition of entanglement entropy in lattice gauge theories, and examine a naive definition where gauge invariant states are viewed as elements of an extended Hilbert space which contains gauge non-invariant states as well. Working in the extended Hilbert space, we...
hilbert spacelatticesubspace Replies: 1 Forum:Quantum Physics P IClosure in the subspace of linear combinations of vectors This is the exact definition and I've summarized it, as I understand it above. Why is it, that for elements in the third subspace, closure will be lost? Wouldn't you...
Definition of a system of random variables by means of conditional distributions Dobrušin, R. L 被引量: 39发表: 1970年 Central limit theorem for random variables generated by conditional distributions of a stable measure projections on Hilbert space SE Anatolievich,SS Yakovlevich - вестн...
There is also a possibility that physical reality might enjoy an infinite number of dimensions; indeed,quantummechanics is often formulated in terms of an infinite-dimensionalHilbert space. But these dimensions are more useful fictions than solid realities. ...