On the Lebesgue decomposition of a function relative to a $p$-ideal of an orthomodular lattice

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1991 Italy Publisher:Slovak Academy of Sciences, Mathematical Institute, Bratislava; De Gruyter, Warsaw

Authors: DE LUCIA, PAOLO; D'ANDREA, ANNA BRUNA;

handle: 11588/138984

On the Lebesgue decomposition of a function relative to a $p$-ideal of an orthomodular lattice

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Abstract

Summary: We establish a decomposition theorem in which a finitely additive group- valued function defined on an orthomodular lattice is decomposed with respect to a $p$-ideal.

Country

Italy

Related Organizations

University Federico II of Naples
Italy

Keywords

Complemented lattices, orthocomplemented lattices and posets, decomposition, finitely additive group-valued function, orthomodular lattice, Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects), $p$-ideal

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