Essential normality, essential norms and hyperrigidity
نویسندگان
چکیده
منابع مشابه
Stable polynomial division and essential normality of graded Hilbert modules
The purpose of this paper is to initiate a new attack on Arveson’s resistant conjecture, that all graded submodules of the d-shift Hilbert module H are essentially normal. We introduce the stable division property for modules (and ideals): a normed module M over the ring of polynomials in d variables has the stable division property if it has a generating set {f1, . . . , fk} such that every h ...
متن کاملEssential Normality of Polynomial-generated Submodules: Hardy Space and Beyond
Recently, Douglas and Wang proved that for each polynomial q, the submodule [q] of the Bergman module generated by q is essentially normal [9]. Using improved techniques, we show that the Hardy-space analogue of this result holds, and more.
متن کاملEssential normality and the decomposability of algebraic varieties
We consider the Arveson–Douglas conjecture on the essential normality of homogeneous submodules corresponding to algebraic subvarieties of the unit ball. We prove that the property of essential normality is preserved by isomorphisms between varieties, and we establish a similar result for maps between varieties that are not necessarily invertible. We also relate the decomposability of an algebr...
متن کاملEssential Norms of the Neumann Operator of the Arithmetical Mean
Let K ⊂ m (m 2) be a compact set; assume that each ball centered on the boundary B of K meets K in a set of positive Lebesgue measure. Let C 0 be the class of all continuously differentiable real-valued functions with compact support in m and denote by σm the area of the unit sphere in m . With each φ ∈ C 0 we associate the function WKφ(z) = 1 σm ∫ m\K gradφ(x) · z − x |z − x|m dx of the variab...
متن کاملSocial Norms 1 Running Head: Social Norms The Essential Role of Ritual in the Transmission and Reinforcement of Social Norms
Social norms are communally agreed upon, morally significant behavioral standards that are, at least in part, responsible for uniquely human forms of cooperation and social organization. This paper summarizes evidence demonstrating that ritual and ritualized behaviors are essential to the transmission and reinforcement of social norms. Ritualized behaviors reliably signal an intentional mental ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 2015
ISSN: 0022-1236
DOI: 10.1016/j.jfa.2015.03.014