Spaces on which unconditionally converging operators are weakly completely continuous

DOI10.1216/RMJM/1181072710zbMath0807.46034OpenAlexW2009050600MaRDI QIDQ1209561

Brenda Smith, Paulette Saab

Publication date: 16 May 1993

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181072710

zbMATH Keywords

unconditionally converging operatorBanach space with unconditional reflexive decomposition

Mathematics Subject Classification ID

Set-valued set functions and measures; integration of set-valued functions; measurable selections (28B20) Spaces of vector- and operator-valued functions (46E40) Vector-valued set functions, measures and integrals (28B05) Linear operators on function spaces (general) (47B38) Vector-valued measures and integration (46G10)

Related Items (2)

wMB-PROPERTY OF ORDER p IN BANACH SPACES ⋮ Some classes of continuous operators on spaces of bounded vector-valued continuous functions with the strict topology

Cites Work

• Pelczynski's property V on C(\(\Omega\) ,E) spaces
• Separable L\(_1\) preduals are quotients of C(\(\Delta\))
• Linear bounded transformation on the space of continuous functions
• On representation of linear operators on $C_0(T,{\bf X})$
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