Operators with compatible ranges in an algebra generated by two orthogonal projections

Research output: Contribution to journalArticle

Abstract

The criterion is obtained for operators A from the algebra generated by two orthogonal projections P, Q to have a compatible range, i.e., coincide with A* on the orthogonal complement to the sum of the kernels of A and A*. In the particular case of A being a polynomial in P, Q, some easily verifiable conditions are derived.

Original languageEnglish (US)
Pages (from-to)117-122
Number of pages6
JournalAdvances in Operator Theory
Volume3
Issue number1
DOIs
StatePublished - Dec 1 2018

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Orthogonal Projection
Complement
kernel
Algebra
Polynomial
Operator
Range of data

Keywords

  • Hermitian operators
  • Orthogonal projections
  • Von Neumann algebras

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Analysis

Cite this

Operators with compatible ranges in an algebra generated by two orthogonal projections. / Spitkovsky, Ilya.

In: Advances in Operator Theory, Vol. 3, No. 1, 01.12.2018, p. 117-122.

Research output: Contribution to journalArticle

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