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   <subfield code="a">Toeplitz operators on generalised H2 spaces</subfield>
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   <subfield code="a">Some aspects are developed of the theory of Toeplitz operators on generalised HardyH 2 spaces associated to function algebras. It is shown that a substantial number of results of the classical theory of Toeplitz operators on the circle extend to this situation, although counterexamples are given which show that there are also important differences. Spectral connectedness results are obtained, and a characterisation of invertibility for Toeplitz operators. The Fredholm theory is also studied.</subfield>
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