Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/1754

 Title: Regular Averaging and Regular Extension Operators in Weakly Compact Subsets of Hilbert Spaces Authors: Argyros, SpirosArvanitakis, Alexander Keywords: C(K) SpacesWeakly Compact SetsRegular Averaging OperatorsRegular Extension Operators Issue Date: 2004 Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences Citation: Serdica Mathematical Journal, Vol. 30, No 4, (2004), 527p-548p Abstract: For weakly compact subsets of Hilbert spaces K, we study the existence of totally disconnected spaces L, such that C(K) is isomorphic to C(L). We prove that the space C(BH ) admits a Pełczyński decomposition and we provide a starshaped weakly compact K, subset of BH with non-empty interior in the norm topology, and such that C(K) ~= C(L) with L totally disconnected. Description: 2000 Mathematics Subject Classification: Primary 46E15, 54C55; Secondary 28B20. URI: http://hdl.handle.net/10525/1754 ISSN: 1310-6600 Appears in Collections: Volume 30 Number 4

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