K-monotone weighted couples of banach lattices

K. E. Tikhomirov

Research output: Contribution to journalArticlepeer-review


We give a criterion for the uniform relative K-monotonicity of weighted couples (X,X(w1)) and (X,X(w2)), where X is some Banach lattice of measurable functions with the Fatou property while w1 and w2 are weight functions. Using the criterion, we prove some corollaries for sequence spaces and arbitrary Banach lattices.

Original languageEnglish (US)
Pages (from-to)147-158
Number of pages12
JournalSiberian Mathematical Journal
Issue number1
StatePublished - Jan 2011

All Science Journal Classification (ASJC) codes

  • General Mathematics


  • Calderón-Mityagin couple
  • K-monotone couple
  • interpolation of operators
  • weighted couple


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