On joint spectra of pairs of analytic Toeplitz operators

Mihai Putinar

Studia Mathematica (1995)

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

Abstract

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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 .

How to cite

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Putinar, 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

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

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