Panchapagesan, T.V. (1995) On weakly compact operators on . Accademia Peloritana dei Pericolanti, Classe di Scienze FF. MM. NN., LXXIII. pp. 41-56.
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Let be a locally compact Hausdorff space and let be provided with the supremum norm.Let be a quasicomplete locally convex Hausdorff space. Suppose is a continuous linear operator. By refining the method adopted by Grothendick in  and by combining the integration technique of Bartle-Dunford-Schwartz , are obtained 32 characterizations for the operator to be weakly compact, several of which are new. The present method is so powerful as to deduce the isolated result of Dinculeanu and Kluvanek on the regular Borel extension of -additive locally convex space valued Baire measures as corollary of the main characterization theorem. Also is included an elegant proof of the range theorem of Tweddle on -additive vector measures.
|Subjects:||M.U.S. - Miscellanea > Atti Accademia Peloritana > Classe di Scienze Fisiche, Matematiche e Naturali > 1995|
M.U.S. - Miscellanea > Atti Accademia Peloritana > Classe di Scienze Medico-Biologiche > 1995
M.U.S. - Miscellanea > Atti Accademia Peloritana > Classe di Scienze Giuridiche, Economiche e Politiche > 1995
M.U.S. - Miscellanea > Atti Accademia Peloritana > Classe di Lettere, Filosofia e belle Arti > 1995
|Depositing User:||Dr A F|
|Date Deposited:||19 Sep 2012 09:53|
|Last Modified:||19 Sep 2012 09:53|
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