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# Download Abstract Analytic Function Theory And Hardy Algebras by K. Barbey, H. König PDF

By K. Barbey, H. König

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Extra info for Abstract Analytic Function Theory And Hardy Algebras

Sample text

K ~ N K ^ = {0} ca(X,~) ca(X,Z) = K ~ + K ^ means with the be c a l l e d the p r e b e n d ii) o<

Ii) H(~,@)<~. iii) H(~,9)<~. , and ~<_H(\$,~) . 2. 1 is false situation c a n be p r o v e d to a p l e a s a n t compact-continuous to are equivalence situation. the to be identheorem.

B ~ iii) see a nonvoid Then even be a ca(X,Z) B^ K c K^ be . 1. which and t o K. B v = B. is For For K. smallest Further- ca(X,Z) a preband to K obtain {m} v = in- combine K v = K ^^. K c B A^ = K. the On = K ^ ~ K v so nonvoid K ^^ c contains B = K c = K ^ @ K ^^ 3) the by a preband. {0} B^ ~ Thus theorem. fact generated ca(X,Z) K^ m and decomposition K v n K^^= that view a preband band as w e l l . and K c is a band the obvious. simplest B K y = K ^^ K ^~ the band is called implies have K c ca(X,Z) called Then obvious KVc a preband a band EXAMPLE: fixed and Kv c = Kv @ other that B c i) K c ~ since subspace.