| R. Aron, J. Globevnik, Analytic functions on c0 , Revista Matematica (Madrid) 2 (1989), 27--34. |
.... Gau measure on Kan d # k bein g the k th projection# (b) the Rademacherfun# M n s: # : 1, 1 N with P the product measure of 1 2 (# 1 # 1 )an d# k : r k the k th projection# (c) more gen#: the n Rademacher fun#2Fj n s which were first used by Aron an d Globevn#: AG]for the study of polyn# mials: Substitute 1, 1 by the n thun#M roots # k : exp 2#ik n , hen# # is the set # 0 , # n 1 Nan d # k : s n k is the k th projection# These n Rademacher fun ction s are often useful in the complex theory of n lin#: r mappin# s a polyn# ....
....# n,s E n .IfE# = E n , then # n Ean d # n,s E are complemen ted in each other. O n#can even show more [DD] if E# = E 2 ,then # n E# = # n,s E; this result is also a con#M ]UF2 of the formula ( An# ] # n,s (F #G) n k=0 # k,s F # # n k,s G (again withn atural mappin gs an d the con ven tion # 0,s E : K) 1.11. Blasco [B2]showed that # n,s E is isomorphic to a complemen ted subspace of # n 1 s E also withn atural mappin# s;in particular: E = # 1,s E is complemen ted in all # n,s E. The dual result (i.e. for n homogen ....
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R. Aron, J. Globevnik, Analytic functions on c0 , Revista Matematica (Madrid) 2 (1989), 27--34.
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