Removing the interior of the spectrum

Gerald J. Murphy; Timothy Trevor West

Commentationes Mathematicae Universitatis Carolinae (1980)

  • Volume: 021, Issue: 3, page 421-431
  • ISSN: 0010-2628

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Murphy, Gerald J., and West, Timothy Trevor. "Removing the interior of the spectrum." Commentationes Mathematicae Universitatis Carolinae 021.3 (1980): 421-431. <http://eudml.org/doc/17046>.

@article{Murphy1980,
author = {Murphy, Gerald J., West, Timothy Trevor},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {interior of the spectrum; Banach algebra extension; permanent spectrum; commutative isometric extensions; uniform algebra; topological boundary; algebra of weighted power series},
language = {eng},
number = {3},
pages = {421-431},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Removing the interior of the spectrum},
url = {http://eudml.org/doc/17046},
volume = {021},
year = {1980},
}

TY - JOUR
AU - Murphy, Gerald J.
AU - West, Timothy Trevor
TI - Removing the interior of the spectrum
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1980
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 021
IS - 3
SP - 421
EP - 431
LA - eng
KW - interior of the spectrum; Banach algebra extension; permanent spectrum; commutative isometric extensions; uniform algebra; topological boundary; algebra of weighted power series
UR - http://eudml.org/doc/17046
ER -

References

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  1. ARENS R. F., Extensions of Banach algebras, Pacific J. Math. 10 (1960), 1-16. (1960) Zbl0095.09801MR0126737
  2. BAILEY W. J., BROWN G., MORAN W., Spectra of independent power measures, Proc. Cam. Phil. Soc. 72 (1972), 27-35. (1972) Zbl0257.43002MR0296608
  3. BERBERIAN S. K., Lectures in functional analysis and operator theory, New York, Springer-Verlag, 1974. (1974) Zbl0296.46002MR0417727
  4. BOLLOBÁS B., Adjoining inverses to commutative Banach algebras, Trans. Amer. Math. Soc. 181 (1973), 165-174. (1973) MR0324418
  5. HALMOS P. R., A Hilbert space problem book, New York: Van Nostrand, 1967. (1967) Zbl0144.38704MR0208368
  6. LARSEN R., Banach algebras, New York: Marcel Dekker, 1973. (1973) Zbl0264.46042MR0487369
  7. ŠILOV G. E., On normed rings possessing one generator, Mat. Sb. 21 (63) (1947), 25-47 (Russian). (1947) MR0024056
  8. SŁODKOWSKI Z., On ideals consisting of joint topological divisors of zero, Studia Math. 48 (1973), 83-88. (1973) MR0348505
  9. WILLIAMSON J. H., Banach algebra elements with independent powers, and theorems of Wiener-Pitt type, Proceedings of a Symposium on Function Algebras, Scott, Foresman (Chicago, 1966), 186-197. (1966) Zbl0138.38303MR0198143
  10. ŽELAZKO W., On a certain class of non-removable ideals in Banach algebras, Studia Math. 44 (1972), 87-92. (1972) MR0313822

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