Positive definite functions and dual pairs of locally convex spaces

Daniel Alpay, Saak Gabriyelyan

Research output: Contribution to journalArticlepeer-review


Using pairs of locally convex topological vector spaces in duality and topologies defined by directed families of sets bounded with respect to the duality, we prove general factorization theorems and general dilation theorems for operator-valued positive definite functions.

Original languageAmerican English
Pages (from-to)463-482
Number of pages20
JournalOpuscula Mathematica
Issue number4
StatePublished - 1 Jan 2018


  • Dilation theory
  • Dual pair
  • Locally convex space
  • Positive definite function
  • The (strong) factorization property

All Science Journal Classification (ASJC) codes

  • General Mathematics


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