Orbits of homogeneous polynomials on Banach spaces
نویسندگان
چکیده
منابع مشابه
Homogeneous Banach spaces with respect to Jacobi polynomials
Homogeneous Banach spaces determined by the Jacobi translation operator are introduced and studied. Based on this translation operator a Jacobi differential operator is analyzed. Approximation procedures in the homogeneous Banach spaces are presented.
متن کاملNondense Orbits of Flows on Homogeneous Spaces
Let F be a nonquasiunipotent one-parameter (cyclic) subgroup of a unimodular Lie group G, Γ a discrete subgroup of G. We prove that for certain classes of subsets Z of the homogeneous space G/Γ, the set of points in G/Γ with F -orbits staying away from Z has full Hausdorff dimension. From this we derive applications to geodesic flows on manifolds of constant negative curvature.
متن کامل0 Orlicz - Pettis Polynomials on Banach Spaces
We introduce the class of Orlicz-Pettis polynomials between Banach spaces, defined by their action on weakly unconditionally Cauchy series. We give a number of equivalent definitions, examples and counterexamples which highlight the differences between these polynomials and the corresponding linear operators.
متن کاملPolynomials on Banach Spaces with Unconditional Bases
We study the classes of homogeneous polynomials on a Banach space with unconditional Schauder basis that have unconditionally convergent monomial expansions relative to this basis. We extend some results of Matos, and we show that the homogeneous polynomials with unconditionally convergent expansions coincide with the polynomials that are regular with respect to the Banach lattices structure of...
متن کاملUnconditionally converging polynomials on Banach spaces
We prove that weakly unconditionally Cauchy (w.u.C.) series and unconditionally converging (u.c.) series are preserved under the action of polynomials or holomorphic functions on Banach spaces, with natural restrictions in the latter case. Thus it is natural to introduce the unconditionally converging polynomials, defined as polynomials taking w.u.C. series into u.c. series, and analogously, th...
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: Ergodic Theory and Dynamical Systems
سال: 2020
ISSN: 0143-3857,1469-4417
DOI: 10.1017/etds.2020.17