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A survey of Ron Douglas’s contributions to the index theory of Toeplitz operators. (English) Zbl 1455.47030

Curto, Raul E. (ed.) et al., Operator theory, operator algebras and their interactions with geometry and topology. Ronald G. Douglas memorial volume. Proceedings of the international workshop on operator theory and applications (IWOTA 2018), Shanghai, China, July 23–27, 2018. Cham: Birkhäuser. Oper. Theory: Adv. Appl. 278, 455-465 (2020).
Summary: In this survey article, we look back on some of the important contributions that Ron Douglas made to the study of index theory for various generalizations of Toeplitz operators.
For the entire collection see [Zbl 1455.47001].

MSC:

47L80 Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.)
47B35 Toeplitz operators, Hankel operators, Wiener-Hopf operators
47A53 (Semi-) Fredholm operators; index theories
58J22 Exotic index theories on manifolds
47-02 Research exposition (monographs, survey articles) pertaining to operator theory

Biographic References:

Douglas, Ronald George
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