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Naraščajoče funkcije z vrednostmi v Banachovih mrežah. Del 3
出版Inštitut za matematiko, fiziko in mehaniko, 1989
URLhttp://books.google.com.hk/books?id=GO1YtwAACAAJ&hl=&source=gbs_api
註釋Let $E,F$ be Banach lattices. Some conditions under which the space ${\cal L} ^r(E,F)$ of regular maps contains (or is contained in) the space ${\cal L}^ \ell(E,F)$ of cone absolutely summing maps are given and related results on $F$-valued measures are obtained. Schmidt's theorem on Jordan decomposition of vector measure of bounded variation is generalized and a converse of Grothendieck-Diestel-Faires' theorem on Banach-lattice-valued vector measures of bounded variation is given. If $E$ has order continuous norm, then regular operators ${\cal C}[0,l]\to E$ are represented by normalized functions of order bounded variation.