Tchakaloff’s theorem and $K$-integral polynomials in Banach spaces

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Convergence of Dirichlet Polynomials in Banach Spaces

Recent results on Dirichlet series ∑ n an 1 ns , s ∈ C, with coefficients an in an infinite dimensional Banach space X show that the maximal width of uniform but not absolute convergence coincides for Dirichlet series and for m-homogeneous Dirichlet polynomials. But a classical non-trivial fact due to Bohnenblust and Hille shows that if X is one dimensional, this maximal width heavily depends o...

متن کامل

Polynomials and Identities on Real Banach Spaces

In our present paper we study the duality theory and linear identities for real polynomials and functions on Banach spaces, which allows for a unified treatment and generalization of some classical results in the area. The basic idea is to exploit point evaluations of polynomials, as e.g. in [Rez93]. As a by-product we also obtain a curious generalization of the well-known Hilbert lemma on the ...

متن کامل

On Peano’s Theorem in Banach Spaces

We show that if X is a separable Banach space (or more generally a Banach with an infinite-dimensional separable quotient) then there is a continuous mapping f : X → X such that the autonomous differential equation x′ = f(x) has no solution at any point. In order to put our results into context, let us start by formulating the classical theorem of Peano. Theorem 1. (Peano) Let X = R, f : R×X → ...

متن کامل

The Banach spaces C(K)

Table of Contents 1. Introduction. 2. The isomorphic classification of separable C(K) spaces. A. Milutin's Theorem. B. C(K) spaces with separable dual via the Szlenk index 3. Some Banach space properties of separable C(K) spaces. A. Weak injectivity. B. c 0-saturation of spaces with separable dual. C. Uncomplemented embeddings of C([0, 1]) and C(ω ω +) in themselves. 4. Operators on C(K)-spaces.

متن کامل

On intermediate value theorem in ordered Banach spaces for noncompact and discontinuous mappings

In this paper, a vector version of the intermediate value theorem is established. The main theorem of this article can be considered as an improvement of the main results have been appeared in [textit{On fixed point theorems for monotone increasing vector valued mappings via scalarizing}, Positivity, 19 (2) (2015) 333-340] with containing the uniqueness, convergent of each iteration to the fixe...

متن کامل

ذخیره 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: Proceedings of the American Mathematical Society

سال: 2017

ISSN: 0002-9939,1088-6826

DOI: 10.1090/proc/13520