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arXiv · 1908.02471

Two Applications of Boolean Valued Analysis

A. G. Kusraev·S. S. Kutateladze
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Abstract

The paper contains two main results that are obtained by Boolean valued analysis. The first asserts that a universally complete vector lattice without locally one-dimensional bands can be decomposed into a direct sum of two vector sublattices that are laterally complete and invariant under all band projections and there exists a band preserving linear isomorphism of each of these sublattices to the original lattice. The second result establishes a counterpart of the Ando Theorem on the joint characterization of $A\!L^p$ and $c_0$ for the class of cyclic Banach lattices, using the Boolean valued transfer for injective Banach lattices.

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BibTeXRIS

A. G. Kusraev, S. S. Kutateladze. 2019-08-07. Two Applications of Boolean Valued Analysis. https://doi.org/10.1134/s0037446619050124

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