Function theory and spectral mapping theorems for antilinear operators

Research output: Contribution to journalArticleScientificpeer-review

Researchers

  • Marko Huhtanen
  • Allan Perämäki

Research units

  • University of Oulu

Abstract

Unlike in complex linear operator theory, polynomials or, more generally, Laurent series of antilinear operators cannot be modelled with complex analysis. There exists a corresponding function space, though, surfacing in spectral mapping theorems. These spectral mapping theorems are inclusive in general. Equality can be established in the self-adjoint case. The arising functions are shown to possess a biradial character. It is shown that to any given set of Jacobi parameters corresponds a biradial measure yielding these parameters in an iterative orthogonalization process in this function space, once equipped with the corresponding L2 structure.

Details

Original languageEnglish
Pages (from-to)451-473
Number of pages23
JournalJOURNAL OF OPERATOR THEORY
Volume72
Issue number2
Publication statusPublished - 2014
MoE publication typeA1 Journal article-refereed

    Research areas

  • Antilinear operator, Biradial function, Biradial measure, Hankel operator, Jacobi operator, Laurent series, Spectral mapping

ID: 9377954