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On algebraic properties of sets of Banach ideal function spaces | Eugene Tokarev
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24 Sep 2002 | Subject: | Functional Analysis MSC-class: 46E30, 46B70 (Primary) 46B10, 46B20 (Secondary) | math.FA | Abstract: | It 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 | Services: | Forum | Review | PDF | Favorites |
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