Inverses of Disjointness Preserving Operators (Memoirs of the American Mathematical Society No. 679)
By: Yuri Abramovich (author), A.K. Kitover (author)Paperback
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This book is intended for graduate students and research mathematicians interested in operator theory, functional analysis, and vector lattices
Setting forth the problems Some history Synopsis of the main results Preliminaries The McPolin-Wickstead and Huijsmans-de Pagter-Koldunov Theorems revisited d-bases Band preserving operators and band-projections Central operators and Problems A and B Range-domain exchange in the Huijsmans-de Pagter-Koldunov Theorem d-splitting number of disjointness preserving operators Essentially one-dimensional and discrete vector lattices Essentially constant functions and operators on $C[0,1]$ Counterexamples Dedekind complete vector lattices and Problems A and B Generalizations to $(r u)$-complete vector lattices Open problems References Index.
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- ID: 9780821813973
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