The “zero-two” law in Orlicz–Kantorovich spaces

Inomjon Ganiev, Farrukh Mukhamedov

Research output: Contribution to journalArticlepeer-review


The present paper deals with L -valued measures and the associated Orlicz–Kantorovich lattice. The considered Orlicz–Kantorovich lattice, endowed with the Luxemburg norm, is represented as a measurable bundle of classical Orlicz spaces associated with scalar measures. This kind of representation allows us to investigate positive contractions and apply the corresponding zero-two laws on the classical Orlicz spaces, to prove vector versions of “zero-two” laws on the considered Orlicz–Kantorovich space.

Original languageEnglish
Article number8
JournalAlgebra Universalis
Issue number1
Publication statusPublished - Feb 2024


  • L-valued measure
  • Measurable Banach bundle
  • Orlicz–Kantorovich spaces
  • Positive contractions
  • “Zero-two” law

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Logic


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