Once more on algebras generated by two projections

Ilya Spitkovsky

doi:10.1016/0024-3795(94)90450-2

Once more on algebras generated by two projections

Ilya Spitkovsky

Mathematics

Research output: Contribution to journal › Article › peer-review

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 language	English (US)
Pages (from-to)	377-395
Number of pages	19
Journal	Linear Algebra and Its Applications
Volume	208-209
Issue number	C
DOIs	https://doi.org/10.1016/0024-3795(94)90450-2
State	Published - 1994

ASJC Scopus subject areas

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

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10.1016/0024-3795(94)90450-2

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title = "Once more on algebras generated by two projections",

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.",

author = "Ilya Spitkovsky",

note = "Funding Information: in part by NSF grant DMS-91-01143.",

year = "1994",

doi = "10.1016/0024-3795(94)90450-2",

language = "English (US)",

volume = "208-209",

pages = "377--395",

journal = "Linear Algebra and Its Applications",

issn = "0024-3795",

publisher = "Elsevier Inc.",

number = "C",

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T1 - Once more on algebras generated by two projections

AU - Spitkovsky, Ilya

N1 - Funding Information: in part by NSF grant DMS-91-01143.

PY - 1994

Y1 - 1994

N2 - 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.

AB - 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.

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U2 - 10.1016/0024-3795(94)90450-2

DO - 10.1016/0024-3795(94)90450-2

M3 - Article

AN - SCOPUS:0039434280

SN - 0024-3795

VL - 208-209

SP - 377

EP - 395

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

IS - C

ER -

Once more on algebras generated by two projections

Abstract

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