RT Book, Section
T1 On (V) and (V*) sets in vector valued function spaces
A1 Bombal Gordón, Fernando
A2 Musielak, Julian
A2 Hudzik, Henryk
A2 Urbański, Ryszard
AB A. Pełczyński [Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 10 (1962), 641–648; defined and studied the properties (V) and (V*), proving that if a Banach space E [resp. its conjugate E∗] has property (V) then E∗ [resp. E] has property (V*), and asking whether the converse implications are true. It is known that the answer to Pełczyński's question is negative;  E. Saab and P. Saab, Pacific J. Math. 125 (1986), no. 1, 205–210. The first part of this paper is concerned with the problem of characterizing Banach spaces for which the answer to Pełczyński's question is positive.  The second part is devoted to a study of (V)- and (V*)-subsets and the heredity of (V)- and (V*)-properties for the Banach space C(Ω,E).
PB Teubner
SN 3815420210
YR 1991
FD 1991
LK https://hdl.handle.net/20.500.14352/60602
UL https://hdl.handle.net/20.500.14352/60602
NO International Conference "Function Spaces" (2. 1989. Poznan, Polonia)
DS Docta Complutense
RD 21 abr 2025