## A note on the Fredholm properties of Toeplitz operators on weighted Bergman spaces with matrix-valued symbolsTools
Perälä, A. and Virtanen, J. A.
(2011)
Full text not archived in this repository. To link to this item DOI: 10.7153/oam-05-06 ## Abstract/SummaryWe characterize the essential spectra of Toeplitz operators Ta on weighted Bergman spaces with matrix-valued symbols; in particular we deal with two classes of symbols, the Douglas algebra C+H∞ and the Zhu class Q := L∞ ∩VMO∂ . In addition, for symbols in C+H∞ , we derive a formula for the index of Ta in terms of its symbol a in the scalar-valued case, while in the matrix-valued case we indicate that the standard reduction to the scalar-valued case fails to work analogously to the Hardy space case. Mathematics subject classification (2010): 47B35,
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