Constructions of sequential spaces
classification
🧮 math.FA
keywords
spacessomebanachbasiscertainconstructionscontrolenjoy
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We introduce and study certain type of variable exponent \ell^p spaces. These spaces will typically not be rearrangement-invariant but instead they enjoy a good local control of some geometric properties. We obtain some interesting examples of Banach spaces with a 1-unconditional basis.
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