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《Journal of Beijing Normal University(Natural Science)》 1987-01
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SCHWARZ'S LEMMA FOR THE SPECTRAL RADIUS IN COMPLEX BANACH ALGEBRAS

Chen Gongning (Department of Mathematics)  
Some results, analogous to the Schwarz's Lemma in complex Banach alg- ebras are obtained, where the norm is replaced with the spectral radius. As applications, the versions of Harnack's double inequality, and of Caratheodory's inequality are established amomg others.
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