# Some results about Beurling algebras with applications to operator theory

Studia Mathematica (1995)

- Volume: 115, Issue: 1, page 39-52
- ISSN: 0039-3223

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topVils Pedersen, Thomas. "Some results about Beurling algebras with applications to operator theory." Studia Mathematica 115.1 (1995): 39-52. <http://eudml.org/doc/216197>.

@article{VilsPedersen1995,

author = {Vils Pedersen, Thomas},

journal = {Studia Mathematica},

keywords = {power bounded operator; maximal ideals in Beurling algebras on the unit disc; approximate identities},

language = {eng},

number = {1},

pages = {39-52},

title = {Some results about Beurling algebras with applications to operator theory},

url = {http://eudml.org/doc/216197},

volume = {115},

year = {1995},

}

TY - JOUR

AU - Vils Pedersen, Thomas

TI - Some results about Beurling algebras with applications to operator theory

JO - Studia Mathematica

PY - 1995

VL - 115

IS - 1

SP - 39

EP - 52

LA - eng

KW - power bounded operator; maximal ideals in Beurling algebras on the unit disc; approximate identities

UR - http://eudml.org/doc/216197

ER -

## References

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- [2] C. Bennett and J. E. Gilbert, Homogeneous algebras on the circle: I. Ideals of analytic functions, Ann. Inst. Fourier (Grenoble) 22 (3) (1972), 1-19. Zbl0228.46046
- [3] J. G. Caughran, Factorization of analytic functions with ${H}^{p}$ derivative, Duke Math. J. 36 (1969), 153-158. Zbl0176.37601
- [4] J. Esterle et F. Zouakia, Rythme de décroissance des itérés de certains opérateurs de l'espace de Hilbert, J. Operator Theory 21 (1989), 387-396. Zbl0703.47001
- [5] I. M. Gelfand, D. A. Raikov and G. E. Shilov, Commutative Normed Rings, Chelsea, Bronx, 1964.
- [6] K. Hoffman, Banach Spaces of Analytic Functions, Prentice-Hall, Englewood Cliffs, N.J., 1962. Zbl0117.34001
- [7] J.-P. Kahane, Idéaux primaires fermés dans certaines algèbres de Banach de fonctions analytiques, in: E. J. Akutowicz (ed.), L'analyse harmonique dans le domaine complexe, Lecture Notes in Math. 336, Springer, Berlin, 1973, 5-14.
- [8] Y. Katznelson, An Introduction to Harmonic Analysis, Wiley, New York, 1968.
- [9] T. V. Pedersen, Norms of powers in Banach algebras, Bull. London Math. Soc., to appear. Zbl0835.46045
- [10] H. Reiter, Classical Harmonic Analysis and Locally Compact Groups, Oxford Univ. Press, London, 1968. Zbl0165.15601

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