Function spaces and a problem of banach
Doctoral Thesis
2000
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University of Cape Town
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Abstract
Function spaces have been a useful tool in probing the convergence of sequences of functions. The theory seems to have been triggered off by the works of Ascoli [36], Arzelà [37] and Hadamard [38]. In this thesis, we consider the space of continuous functions from a topological space X into the reals R, which we denote C(X).
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Bibliography: leaves 87-90.
Reference:
Kalaichelvan, R. 2000. Function spaces and a problem of banach. University of Cape Town.