Proves dual-space structure and atomic predual decomposition for supremum-norm Banach spaces, then derives biduality B_*^* = B and distance formula for the Bourgain-Brezis-Mironescu space.
Duality and distance formulas i n spaces defined by means of oscillation
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Atomic decompositions, two stars theorems, and distances for the Bourgain-Brezis-Mironescu space and other big spaces
Proves dual-space structure and atomic predual decomposition for supremum-norm Banach spaces, then derives biduality B_*^* = B and distance formula for the Bourgain-Brezis-Mironescu space.