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28 March 2024
 
  » arxiv » math.FA/0209322

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On algebraic properties of sets of Banach ideal function spaces
Eugene Tokarev ;
Date 24 Sep 2002
Subject Functional Analysis MSC-class: 46E30, 46B70 (Primary) 46B10, 46B20 (Secondary) | math.FA
AbstractIt is shown that every set I(m) of Banach lattices of measurable functions defined on a measure space (Q,S,m), equipped with a some natural ordering became a modular lattice, which is Dedekind complete provided m is a probability measure. Moreover, some natural operations on considered spaces are in Galois connexion.
Source arXiv, math.FA/0209322
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