منابع مشابه
On Gross Spaces
A Gross space is a vector space E of infinite dimension over some field F , which is endowed with a symmetric bilinear form Φ : E → F and has the property that every infinite dimensional subspace U ⊆ E satisfies dimU < dimE. Gross spaces over uncountable fields exist (in certain dimensions) (see [G/O]). The existence of a Gross space over countable or finite fields (in a fixed dimension not abo...
متن کاملThree Dimensional Gross–Neveu Model on Curved Spaces
The large N limit of the 3-d Gross–Neveu model is here studied on manifolds with positive and negative constant curvature. Using the ζ–function regularization we analyze the critical properties of this model on the spaces S2 × S1 and H2 × S1. We evaluate the free energy density, the spontaneous magnetization and the correlation length at the ultraviolet fixed point. The limit S1 → R, which is i...
متن کاملEvasion and prediction — — the Specker phenomenon and Gross spaces
We study the set–theoretic combinatorics underlying the following two algebraic phenomena. (1) A subgroup G ≤ Z exhibits the Specker phenomenon iff every homomorphism G → Z maps almost all unit vectors to 0. Let se be the size of the smallest G ≤ Z exhibiting the Specker phenomenon. (2) Given an uncountably dimensional vector space E equipped with a symmetric bilinear form Φ over an at most cou...
متن کاملTwo remarks on solutions of Gross-Pitaevskii equations on Zhidkov spaces
We consider the so-called Gross-Pitaevskii equations supplemented with non-standard boundary conditions. We prove two mathematical results concerned with the initial value problem for these equations in Zhidkov spaces.
متن کاملVortex Helices for Inhomogeneous Gross-Pitaevskii Equation in Three Dimensional Spaces
We construct traveling wave solutions with a stationary or traveling vortex helix to the inhomogeneous Gross-Pitaevskii equation iΨt = 4Ψ + ( W (y)− |Ψ| ) Ψ, where the unknown function Ψ is defined as Ψ : R3 × R → C, is a small positive parameter and W is a real smooth potential with symmetries.
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1996
ISSN: 0002-9947,1088-6850
DOI: 10.1090/s0002-9947-96-01658-3