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This volume consists of three relatively independent articles devoted to the topological study of the so-called operator images and weak unit balls of Banach spaces. These articles are: “The topological classification of weak unit balls of Banach spaces” by T. Banakh, “The topological and Borel classification of operator images” by T. Banakh, T. Dobrowolski and A. Plichko, and “Operator images homeomorphic to ” by T. Banakh. The articles summarize investigations that has been done by these authors...
CONTENTSIntroduction....................................................................................................................................51. Sequences of elements in separable Banach spaces...............................................................82. Maharam's theorem.................................................................................................................163. Symmetric function spaces......................................................................................................214....
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