3 years ago

Stone-Weierstra{\ss} Theorems for Riesz Ideals of Continuous Functions.

Matthias Schötz

Notions of convergence and continuity specifically adapted to Riesz ideals I of spaces of continuous real-valued functions are given, and used to prove Stone-Weierstra{\ss}-like theorems for I. As applications, sufficient conditions are discussed that guarantee that various types of positive linear maps on I are uniquely determined by their restriction to various point-separating subsets of I. A very special case of this is the well-known characterization of the strong determinacy of moment problems, which is rederived without making use of spectral theory.

Publisher URL: http://arxiv.org/abs/1811.04882

DOI: arXiv:1811.04882v1

You might also like
Discover & Discuss Important Research

Keeping up-to-date with research can feel impossible, with papers being published faster than you'll ever be able to read them. That's where Researcher comes in: we're simplifying discovery and making important discussions happen. With over 19,000 sources, including peer-reviewed journals, preprints, blogs, universities, podcasts and Live events across 10 research areas, you'll never miss what's important to you. It's like social media, but better. Oh, and we should mention - it's free.

  • Download from Google Play
  • Download from App Store
  • Download from AppInChina

Researcher displays publicly available abstracts and doesn’t host any full article content. If the content is open access, we will direct clicks from the abstracts to the publisher website and display the PDF copy on our platform. Clicks to view the full text will be directed to the publisher website, where only users with subscriptions or access through their institution are able to view the full article.