Once more on algebras generated by two projections

Research output: Contribution to journalArticle

Abstract

We consider von Neumann algebras generated by two arbitrary orthoprojections on a Hilbert space. A canonical decomposition is obtained for elements A of these algebras in terms of the operator angle between the ranges of the above-mentioned projections. This decomposition leads to explicit descriptions and formulas for kernels, ranges, spectra and essential spectra, (generalized) inverses, and other objects related to A.

Original languageEnglish (US)
Pages (from-to)377-395
Number of pages19
JournalLinear Algebra and Its Applications
Volume208-209
Issue numberC
DOIs
StatePublished - Jan 1 1994

Fingerprint

Algebra
Projection
Decomposition
Canonical Decomposition
Essential Spectrum
Generalized Inverse
Hilbert spaces
Von Neumann Algebra
Range of data
Mathematical operators
Hilbert space
kernel
Angle
Decompose
Arbitrary
Operator
Object

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Numerical Analysis
  • Geometry and Topology
  • Discrete Mathematics and Combinatorics

Cite this

Once more on algebras generated by two projections. / Spitkovsky, Ilya.

In: Linear Algebra and Its Applications, Vol. 208-209, No. C, 01.01.1994, p. 377-395.

Research output: Contribution to journalArticle

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