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Connection Between Strong and Norming Markushevich Bases in Non‐Separable Banach Spaces
Author(s) -
Alexandrov G.,
Plichko A.
Publication year - 2006
Publication title -
mathematika
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.955
H-Index - 29
eISSN - 2041-7942
pISSN - 0025-5793
DOI - 10.1112/s0025579300000140
Subject(s) - mathematics , separable space , connection (principal bundle) , banach space , pure mathematics , mathematical analysis , geometry
It is shown that every Banach space with a norming Markushevich basis has a strong Markushevich basis. It is also shown that the converse is false.