Quadratic Forms Corresponding to the Generalized Schrödinger Semigroups
نویسندگان
چکیده
منابع مشابه
Applications of quadratic D-forms to generalized quadratic forms
In this paper, we study generalized quadratic forms over a division algebra with involution of the first kind in characteristic two. For this, we associate to every generalized quadratic from a quadratic form on its underlying vector space. It is shown that this form determines the isotropy behavior and the isometry class of generalized quadratic forms.
متن کاملDeformations of quadratic algebras and the corresponding quantum semigroups
Let V be a finite dimensional vector space. Given a decomposition V ⊗ V = ⊕i Ii, define n quadratic algebras (V, Jm) where Jm = ⊕i6=mIi. This decomposition defines also the quantum semigroup M(V ; I1, ..., In) which acts on all these quadratic algebras. With the decomposition we associate a family of associative algebras Ak = Ak(I1, ...In), k ≥ 2. In the classical case, when V ⊗ V decomposes in...
متن کاملSchrödinger Semigroups
Let H = \L + V be a general Schrödinger operator on R" (v~> 1), where A is the Laplace differential operator and V is a potential function on which we assume minimal hypotheses of growth and regularity, and in particular allow V which are unbounded below. We give a general survey of the properties of e~, t > 0, and related mappings given in terms of solutions of initial value problems for the d...
متن کاملFrom Forms to Semigroups
We present a review and some new results on form methods for generating holomorphic semigroups on Hilbert spaces. In particular, we explain how the notion of closability can be avoided. As examples we include the Stokes operator, the Black–Scholes equation, degenerate differential equations and the Dirichlet-to-Neumann operator. Mathematics Subject Classification (2000). Primary 47A07; Secondar...
متن کاملReal Semigroups, Real Spectra and Quadratic Forms over Rings
real spectrum (ARS)finitely closed subset of, 52morphism of, 31projective limits of, 31residue space of, 66–69saturated subset of, 56subspace of, 61algebraLukasiewicz, 84Kleene, 87Post, 84AOSclosed subset, 210dependent subset, 210AOS-fan, 166archimedean-equivalent, 188ARS-fan, 170connected components, 208finiteisomorphi...
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: 1994
ISSN: 0022-1236
DOI: 10.1006/jfan.1994.1128