# On joint spectra of pairs of analytic Toeplitz operators

Studia Mathematica (1995)

- Volume: 115, Issue: 2, page 129-134
- ISSN: 0039-3223

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topPutinar, Mihai. "On joint spectra of pairs of analytic Toeplitz operators." Studia Mathematica 115.2 (1995): 129-134. <http://eudml.org/doc/216203>.

@article{Putinar1995,

abstract = {One computes the joint and essential joint spectra of a pair of multiplication operators with bounded analytic functions on the Hardy spaces of the unit ball in $ℂ^n$.},

author = {Putinar, Mihai},

journal = {Studia Mathematica},

keywords = {analytic Toeplitz operators; essential joint spectra; pair of multiplication operators; bounded analytic functions on the Hardy spaces of the unit ball},

language = {eng},

number = {2},

pages = {129-134},

title = {On joint spectra of pairs of analytic Toeplitz operators},

url = {http://eudml.org/doc/216203},

volume = {115},

year = {1995},

}

TY - JOUR

AU - Putinar, Mihai

TI - On joint spectra of pairs of analytic Toeplitz operators

JO - Studia Mathematica

PY - 1995

VL - 115

IS - 2

SP - 129

EP - 134

AB - One computes the joint and essential joint spectra of a pair of multiplication operators with bounded analytic functions on the Hardy spaces of the unit ball in $ℂ^n$.

LA - eng

KW - analytic Toeplitz operators; essential joint spectra; pair of multiplication operators; bounded analytic functions on the Hardy spaces of the unit ball

UR - http://eudml.org/doc/216203

ER -

## References

top- [1] E. Amar, On the Corona Problem, J. Geom. Anal. 1 (1991), 291-305. Zbl0794.32007
- [2] J. Eschmeier and M. Putinar, Spectra of analytic Toeplitz tuples on Bergman spaces, Acta Sci. Math. (Szeged) 57 (1993), 85-101. Zbl0804.47027
- [3] L. Hörmander, Generators for some rings of analytic functions, Bull. Amer. Math. Soc. 73 (1967), 943-949. Zbl0172.41701
- [4] B. Kaup and L. Kaup, Holomorphic Functions of Several Variables: an Introduction to the Fundamental Theory, de Gruyter, Berlin, 1983. Zbl0528.32001
- [5] Y.-S. Li, Corona Problem of several complex variables, in: Contemp. Math. 137, Amer. Math. Soc., 1992, 307-328. Zbl0763.32008
- [6] J. L. Taylor, A joint spectrum for several commuting operators, J. Funct. Anal. 6 (1970), 172-191. Zbl0233.47024
- [7] F.-H. Vasilescu, Analytical Functional Calculus and Spectral Decompositions, Reidel, Dordrecht, 1982.
- [8] R. Wolff, Spectral properties of Toeplitz tuples with ${H}^{\infty}$ symbol on Hardy spaces. I, preprint, Münster University, 1994.

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