منابع مشابه
Hilbert Functions , Residual Intersections , and Residually S 2 Ideals
Let R be a homogeneous ring over an in¢nite ¢eld, I & R a homogeneous ideal, and a & I an ideal generated by s forms of degrees d 1 Y F F F Y d s so that codim a X I X s.We give broad conditions for when the Hilbert function of Raa or of Ra a X I is determined by I and the degrees d 1 Y F F F Y d s. These conditions are expressed in terms of residual intersections of I, culminating in the not...
متن کاملCore and Residual Intersections of Ideals
D. Rees and J. Sally defined the core of an R-ideal I as the intersection of all (minimal) reductions of I. However, it is not easy to give an explicit characterization of it in terms of data attached to the ideal. Until recently, the only case in which a closed formula was known is the one of integrally closed ideals in a two-dimensional regular local ring, due to C. Huneke and I. Swanson. The...
متن کاملHilbert Spaces of Dirichlet Series
We consider various Hilbert spaces of Dirichlet series whose norms are given by weighted l2 norms of the Dirichlet coefficients. We characterize the multiplier algebras for some of these spaces. 0 Introduction Let w = {wn}n=n0 be a sequence of positive numbers. In this paper we are concerned with Hilbert spaces of functions representable by Dirichlet series: H w = {
متن کاملHilbert Series and Gelfand Duality
Another example of such a duality are the formulas of Gelfand-Tsetlin for matrix elements of irreducible representations of the algebra of complex matrices with trace 0 and the formulas for coordinates in the group of unitary matrices... In all of these cases the duality consists in the fact that functions of discrete arguments satisfy finite difference equations analogous to differential equat...
متن کاملsome properties of fuzzy hilbert spaces and norm of operators
in this thesis, at first we investigate the bounded inverse theorem on fuzzy normed linear spaces and study the set of all compact operators on these spaces. then we introduce the notions of fuzzy boundedness and investigate a new norm operators and the relationship between continuity and boundedness. and, we show that the space of all fuzzy bounded operators is complete. finally, we define...
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ژورنال
عنوان ژورنال: Compositio Mathematica
سال: 2015
ISSN: 0010-437X,1570-5846
DOI: 10.1112/s0010437x15007289