Inverses of disjointness preserving operators
著者
書誌事項
Inverses of disjointness preserving operators
（Memoirs of the American Mathematical Society, no. 679）
American Mathematical Society, 2000
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注記
Includes bibliographical references (p. 158-162) and index
"January 2000, volume 143, number 679 (first of 4 numbers)"
内容説明・目次
内容説明
This book is intended for graduate students and research mathematicians interested in operator theory, functional analysis, and vector lattices
目次
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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