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- W382130561 abstract "This chapter describes the convergence in the space of operators. There are several ways to assign limits to sequences in analysis. The most direct approach is to attach values to some of the sequences and define those sequences to be convergent. This is the approach that was taken in defining operational convergence in the space of operators. A convergence is topological (or metrizable) if there is a topology (or metric) such that a sequence is convergent if it is convergent in the topology (or metric). The chapter introduces a natural extension of operational convergence called convergence type I . It is a topological convergence. The space I of locally integrable functions on the half-line (0 , ∞ ) consists of those complex valued functions which are Lebesgue integrable on each interval [0 , T ]." @default.
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- W382130561 date "1987-01-01" @default.
- W382130561 modified "2023-09-27" @default.
- W382130561 title "CONVERGENCE IN THE SPACE OF OPERATORS" @default.
- W382130561 doi "https://doi.org/10.1016/b978-0-08-026479-0.50015-3" @default.
- W382130561 hasPublicationYear "1987" @default.
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