Results 21 to 30 of about 359,212 (230)
Description of resonances within the rigged Hilbert space [PDF]
, 2006 The spectrum of a quantum system has in general bound, scattering and resonant parts. The Hilbert space includes only the bound and scattering spectra, and discards the resonances.
de la Madrid, R.
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Hilbert spaces induced by Hilbert space valued functions [PDF]
Proceedings of the American Mathematical Society, 1983 Let E E be an arbitrary set and F ( E ) \mathcal {F}(E) a linear space composed of all complex valued functions on E E . Let H \mathcal {H} be a (possibly finite-dimensional) Hilbert space with inner product (
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The Characterization and Stability of g-Riesz Frames for Super Hilbert Space
Journal of Function Spaces, 2015 G-frames and g-Riesz frames as generalized frames in Hilbert spaces have been studied by many authors in recent years. The super Hilbert space has a certain advantage compared with the Hilbert space in the field of studying quantum mechanics.
Dingli Hua, Yongdong Huang
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Flows in Infinite-Dimensional Phase Space Equipped with a Finitely-Additive Invariant Measure
Mathematics, 2023 Finitely-additive measures invariant to the action of some groups on a separable infinitedimensional real Hilbert space are constructed. The invariantness of a measure is studied with respect to the group of shifts on a vector of Hilbert space, the ...
Vsevolod Zh. Sakbaev
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Compression functions of uniform embeddings of groups into Hilbert and Banach spaces [PDF]
, 2008 We construct finitely generated groups with arbitrary prescribed Hilbert space compression \alpha from the interval [0,1]. For a large class of Banach spaces E (including all uniformly convex Banach spaces), the E-compression of these groups coincides ...
Arzhantseva, Goulnara +2 more
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Reproducing Kernel Hilbert Space vs. Frame Estimates
Mathematics, 2015 We consider conditions on a given system F of vectors in Hilbert space H, forming a frame, which turn H into a reproducing kernel Hilbert space. It is assumed that the vectors in F are functions on some set Ω .
Palle E. T. Jorgensen, Myung-Sin Song
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The space of twisted cubics [PDF]
Épijournal de Géométrie Algébrique, 2021 We consider the Cohen-Macaulay compactification of the space of twisted cubics in projective n-space. This compactification is the fine moduli scheme representing the functor of CM-curves with Hilbert polynomial 3t+1. We show that the moduli scheme of CM-
Katharina Heinrich +2 more
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Symmetric Hilbert spaces arising from species of structures [PDF]
, 2000 Symmetric Hilbert spaces such as the bosonic and the fermionic Fock spaces over some `one particle space' $\K$ are formed by certain symmetrization procedures performed on the full Fock space. We investigate alternative ways of symmetrization by building
Guta, Madalin, Maassen, Hans
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Journal of Functional Analysis, 2003 A Banach space \(X\) is called \(\mathcal P\)-generated (where \(\mathcal P\) is a property of Banach spaces) if there is a Banach space \(Y\) with property \(\mathcal P\) and a continuous linear operator from \(Y\) into \(X\) with dense range. \textit{M. Fabian}, \textit{G. Godefroy} and \textit{V. Zizler} [Isr. J. Math.
Fabian, M. +3 more
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Wreath products with the integers, proper actions and Hilbert space compression [PDF]
, 2006 We prove that the properties of acting metrically properly on some space with walls or some CAT(0) cube complex are closed by taking the wreath product with \Z. We also give a lower bound for the (equivariant) Hilbert space compression of H\wr\Z in terms
Stalder, Yves, Valette, Alain
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