Small systems -- on approximation of compact sets of measurable functions to compact subsets of $C_{c-o}(X)$

نویسندگان

چکیده

برای دانلود رایگان 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

Pointwise Compact and Stable Sets of Measurable Functions

Introduction In a series of papers culminating in [Ta84], M.Talagrand, the second author and others investigated at length the properties and structure of pointwise compact sets of measurable functions. A number of problems, interesting in themselves and important for the theory of Pettis integration, were solved subject to various special axioms. It was left unclear just how far the special ax...

متن کامل

Approximation of Entire Functions of Slow Growth on Compact Sets

In the present paper, we study the polynomial approximation of entire functions of several complex variables. The characterizations of generalized order and generalized type of entire functions of slow growth have been obtained in terms of approximation and interpolation errors.

متن کامل

Weighted Approximation on Compact Sets

For a compact set E with connected complement in the com plex plane we consider a problem of the uniform approximation on E by the weighted polynomials W z Pn z where W z is a continuous non vanishing weight function on E analytic in the interior of E Let A E W be the set of functions uniformly approximable on E by such weighted polynomials If E has empty interior then A E W is completely char ...

متن کامل

Uniform Convergence to a Left Invariance on Weakly Compact Subsets

Let  $left{a_alpharight}_{alphain I}$ be a bounded net in a Banach algebra $A$ and $varphi$ a nonzero multiplicative linear functional on $A$. In this paper, we deal with the problem of when $|aa_alpha-varphi(a)a_alpha|to0$ uniformly for all $a$ in weakly compact subsets of $A$. We show that Banach algebras associated to locally compact groups such  as Segal algebras and $L^1$-algebras are resp...

متن کامل

Compact Subsets of Spaces of Holomorphic Functions

In [1] compactness criteria in function spaces are investigated for general coorbit spaces. As an application it is shown that a bounded and closed subset A ⊂ F := {f : f is entire and Z C |f(z)|2e−|z| dλ(z) < ∞} is compact if and only if ∀2 > 0 ∃ a compact subset C ⊂ Cn with Z CC |f(z)|2e−|z| dλ(z) < 2 ∀f ∈ A. The methods of [1] cannot be easily adopted for the spaces Fm := {f : f is entire an...

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: Czechoslovak Mathematical Journal

سال: 1991

ISSN: 0011-4642,1572-9141

DOI: 10.21136/cmj.1991.102494