Abstract
Ina recent paper A. Pelczynski proved the existence of universal Schauder bases for several important families of bases.In the present paper some new existence problems are settled. For example, it is proved that the family of boundedly complete bases does not have a universal member.
Original language | English |
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Pages (from-to) | 294-300 |
Number of pages | 7 |
Journal | Proceedings of the American Mathematical Society |
Volume | 26 |
Issue number | 2 |
DOIs | |
State | Published - 1970 |
Externally published | Yes |
Keywords
- Boundedly complete basis
- Complementably universal basis
- Complemented subbasis
- Equivalent bases
- Monotone basis
- Norming function
- Seminormalized basis
- Shrinking basis
- Subsequence homogeneous norming function
- Unconditional basis
- Universal basis