This article is cited in 2 papers

Atomicity in injective Banach lattices

A. G. Kusraev<sup>ab

a</sup> K. L. Khetagurov North Ossetian State University, 44--46 Vatutin Street, Vladikavkaz, 362025, Russia
^b Vladikavkaz Science Center of the RAS, 22 Markus Street, Vladikavkaz, 362027, Russia

Abstract: This note is aimed to examine a Boolean valued interpretation of the concept of atomic Banach lattice and to give a complete description of the corresponding class of injective Banach lattices.

Key words: injective Banach lattice, atomic Banach lattice, Boolean valued representation, classification.

UDC: 517.98

MSC: 46B42, 47B65

Received: 31.08.2015

Language: English