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Korovkin-type theorem for sequences of operators preserving shape

✍ Scribed by S. P. Sidorov


Publisher
Springer
Year
2009
Tongue
English
Weight
122 KB
Volume
15
Category
Article
ISSN
1385-1292

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A Theorem of Brown–Halmos Type for Bergm
✍ Patrick Ahern; Ε½eljko ČučkoviΔ‡ πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 146 KB

We study the analogues of the Brown-Halmos theorem for Toeplitz operators on the Bergman space. We show that for f and g harmonic, T f T g =T h only in the trivial case, provided that h is of class C 2 with the invariant laplacian bounded. Here the trivial cases are f Β―or g holomorphic. From this w