@article {Dobrakov:December 2002:0011-4642:691,
	author = "Dobrakov I.",
	author = "Panchapagesan T.V.",
	title = "A Simple Proof of the Borel Extension Theorem and Weak Compactness of Operators",
	journal = "Czechoslovak Mathematical Journal",
	volume = "52",
	year = "December 2002",
	abstract = "Let <I>T</I> be a locally compact Hausdorff space and let <I>C</I><SUB>0</SUB>(<I>T</I>) be the Banach space of all complex valued continuous functions vanishing at infinity in <I>T</I>, provided with the supremum norm. Let <I>X</I> be a quasicomplete locally convex Hausdorff space. A simple proof of the theorem on regular Borel extension of <I>X</I>-valued <IMG SRC="/iso-ents/isogrk32/sigma-s.gif" ALT="sigma">-additive Baire measures on <I>T</I> is given, which is more natural and direct than the existing ones. Using this result the integral representation and weak compactness of a continuous linear map <I>u</I>: <I>C</I><SUB>0</SUB>(<I>T</I>) <IMG SRC="/iso-ents/isonum/rarr.gif" ALT="rarr"> <I>X</I> when <I>C</I><SUB>0</SUB> <IMG SRC="/iso-ents/isoamsn/nsub.gif" ALT="nsub"> <I>X</I> are obtained. The proof of the latter result is independent of the use of powerful results such as Theorem 6 of [6] or Theorem 3 (vii) of [13].",
	pages = "691-703(13)",
	url = "http://www.ingentaconnect.com/content/klu/cmaj/2002/00000052/00000004/00426271"
	doi = "doi:10.1023/B:CMAJ.0000027224.01146.63"
}