Geodesic
Compact endomorphisms of $H^∞(D)$
Studia Mathematica, Tome 136 (1999) no. 1, pp. 87-90

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Compact composition operators on $H^∞(G)$, where G is a region in the complex plane, and the spectra of these operators were described by D. Swanton ( Compact composition operators on B(D), Proc. Amer. Math. Soc. 56 (1976), 152-156). In this short note we characterize all compact endomorphisms, not necessarily those induced by composition operators, on $H^∞(D)$, where D is the unit disc, and determine their spectra.
DOI : 10.4064/sm-136-1-87-90

Joel F. Feinstein 1 ;  1

1 
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Joel F. Feinstein;  . Compact endomorphisms of $H^∞(D)$. Studia Mathematica, Tome 136 (1999) no. 1, pp. 87-90. doi: 10.4064/sm-136-1-87-90

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