Hostname: page-component-84b7d79bbc-rnpqb Total loading time: 0 Render date: 2024-07-29T13:13:43.472Z Has data issue: false hasContentIssue false
  • English
  • Français

Some nicely placed Hardy spaces

Published online by Cambridge University Press:  01 March 1998

C. FINET  and
D. J. H. GARLING
C. FINET
Affiliation:
Institut de mathématique et d'informatique, Université de Mons-Hainaut, Mons, Belgium
D. J. H. GARLING
Affiliation:
St John's College, Cambridge
Get access Rights & Permissions [Opens in a new window]

Abstract

Let L0=L0(Ω, [sum ], μ) denote the vector space of (equivalence classes of) measurable functions on a measure space (Ω, [sum ], μ), taking values in a finite-dimensional Hilbert space H. We give L0 the topology τ0 of local convergence in measure[ratio ]τ0 is a complete vector space topology, with base of neighbourhoods

formula here

where

formula here

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 123 , Issue 2 , March 1998 , pp. 329 - 335
Copyright
Cambridge Philosophical Society 1998

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)