Interacting Fock Spaces and Subproduct Systems

Abstract

We prove many new results about interacting Fock spaces. We pose many open problems; for most of them we prove that their solutions have no choice but being nontrivial. We ask the kind reader to consult the extended abstract in the paper.

54 pages. Revised version, to appear in IDAQP 23, 2020

References in corpus (1)

• The isomorphism problem for some universal operator algebras

Cited by in corpus (3)

• CP-Semigroups and Dilations, Subproduct Systems and Superproduct Systems: The Multi-Parameter Case and Beyond
• Tensor algebras of subproduct systems and noncommutative function theory
• Schoenberg correspondence for multifaced independence