an:01014291
Zbl 0948.46052
Katsaras, A. K.; Perez-Garcia, C.
\(\Lambda_0\)-nuclear operators and \(\Lambda_0\)-nuclear spaces in \(p\)-adic analysis
EN
Georgian Math. J. 4, No. 1, 27-40 (1997).
00038390
1997
j
46S10 46A45 46A11 47B10
\(p\)-adic functional analysis; nuclearity; compactoidity; K??the sequence space; \(\Lambda_0\)-nuclear spaces; \(\Lambda_0\)-property
Summary: For a K??the sequence space, the classes of \(\Lambda_0\)-nuclear spaces and spaces with the \(\Lambda_0\)-property are introduced and studied and the relation between them is investigated. Also, we show that, for \(\Lambda_0\neq c_0\), these classes of spaces are in general different from the corresponding ones for \(\Lambda_0= c_0\), which have been extensively studied in the non-Archimedean literature.