The book is devoted to a class of operators which occurs in almost every part of mathematics: band and band-dominated operators on spaces of vector-valued sequences. The main emphasis is on Fredholm theory for these operators, and the main tool to study this topic is the method of limit operators. This method provides a general approach to treat quite different classes of operators from a unique view: convolution type operators as well as pseudodifference operators on bad domains and with bad coefficients.
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