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Upper and lower estimates in Banach sequence spaces. (English) Zbl 0851.46016
Summary: Here we study the existence of lower and upper \(\ell_p\)-estimates of sequences in some Banach sequence spaces. We also compute the sharp \(\ell_p\) estimates in their basis. Finally, we give some applications to weak sequential continuity of polynomials.

MSC:
46B45 Banach sequence spaces
46B10 Duality and reflexivity in normed linear and Banach spaces
46G20 Infinite-dimensional holomorphy
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