On joint spectra of pairs of analytic Toeplitz operators

• Autorzy: Mihai Putinar
• Języki publikacji: EN

Abstrakty

EN

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 $ℂ^n$.

Kategorie tematyczne

• 47A13: Several-variable operator theory (spectral, Fredholm, etc.)
• 46J15: Banach algebras of differentiable or analytic functions, H p -spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1995
• Tom: 115
• Numer: 2
• Strony: 129-134

Daty

wydano

1995

otrzymano

1994-08-16

poprawiono

1995-03-01

Twórcy

autor

Mihai Putinar

• Department of Mathematics, University of California, Riverside, California 92521, U.S.A.

Bibliografia

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