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- W2069796816 abstract "The linear isometries u: A -A of the disc algebra A into itself are completely described. Such isometries u must be one of two distinct types. The first type is uf = 0 f(q), where 0 E A and q E H' satisfy certain described conditions. The second type is uf = E(f (X)), where 0: Q -* T is any continuous function from a closed zero measure subset Q of the unit circle T onto itself, Vb E C(Q) is unimodular, and E: Y -* A is a norm 1 extension operator, where Y -{_f f(q): f E A} C C(Q). Isometries of C(K) spaces into the disc algebra are also described." @default.
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- W2069796816 date "1985-04-01" @default.
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- W2069796816 title "Isometries of the disc algebra" @default.
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