On perfectly homogeneous bases inF-spaces |
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| Authors: | J R Morrow |
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| Institution: | (1) Department of Mathematics, Central New England College, 01608 Worcester, Mass., USA |
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| Abstract: | It is proved that in anF-space with a basis (χ
n
)
n
= 1/∞
, (χ
n
)
n
= 1/∞
is equivalent to the unit-vectors basis ofc
0,l
p (p>0), or (s) if and only if (χ
n
)
n
= 1/∞
is equivalent to each of itsɛ-normalized block basic sequences for eachɛ>0. This result is an extension of a theorem of M. Zippin. |
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| Keywords: | |
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