commingle 发表于 2025-3-21 16:54:48
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,,-Smoothness in Separable Spaces,ns, in particular by means of ..-smooth renormings and differentiability properties of convex functions. Asplund spaces also play an important role in applications. We study basic results in smooth approximation and ranges of smooth nonlinear operators.overrule 发表于 2025-3-23 00:50:52
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Weakly Compactly Generated Spaces,ctly generated spaces, in short WCG spaces). We focus on their decomposition properties, renormings, and on the topological properties of their dual spaces. We prove that WCG spaces are generated by reflexive spaces. Then we study absolutely summing operators and the Dunford–Pettis property.