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Dunford–Pettis properties, Hilbert spaces and projective tensor products
Authors:Leslie J. Bunce  Antonio M. Peralta  
Affiliation:aUniversity of Reading, Reading RG6 2AX, Great Britain, UK;bDepartamento de Análisis Matemático, Facultad de Ciencias, Universidad de Granada, 18071 Granada, Spain
Abstract:We study complete continuity properties of operators onto 2 and prove several results in the Dunford–Pettis theory of JB*-triples and their projective tensor products, culminating in characterisations of the alternative Dunford–Pettis property for View the MathML source where E and F are JB*-triples.
Keywords:Dunford–  Pettis properties   Projective tensor products     mml5"  >  text-decoration:none   color:black"   href="  /science?_ob=MathURL&_method=retrieve&_udi=B6WJJ-4R008WC-1&_mathId=mml5&_user=6189383&_cdi=6880&_rdoc=13&_acct=C000069468&_version=1&_userid=6189383&md5=85e76d738c817e919e2dcd995fbdb3d9"   title="  Click to view the MathML source"   alt="  Click to view the MathML source"  >JB*-triples
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