R. Alencar, R. Aron, S. Dineen, A reflexive space of holomorphic functions in infinitely many variables, Proc. Amer. Math. Soc. 90 (1984), 407--411.  Home/Search   Document Not in Database   Summary   Related Articles

.... # n x# #(G, G #) con verges to # n x, i.e. for all q # G # = P n (E) q(x #) #q L , # n x## ##q L , # n x# = q(x) The space P n (E) is reflexive for example in the followin# cases: E = # p (if n p #; see [AlF1]an d [GoJ] or E = T , the orig in# l Tsirelson space (see [AAD] Note that the claim of the proposition holds also for then on reflexive space c 0sin#F all q #P n (c 0 ) are weaklysequen tially con tin uous (due to Bogdan owicz [Bo]an d Pe#lczyn# [Pe] see also [AlF1] a n# the boun#M sets in c 0 are weakly metrizable. 4.5. The diagram ofn atural ....

R. Alencar, R. Aron, S. Dineen, A reflexive space of holomorphic functions in infinitely many variables, Proc. Amer. Math. Soc. 90 (1984), 407--411.

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