On subsymmetric bases in Fréchet spaces
Author:
Wieslaw Sliwa
Journal:
Proc. Amer. Math. Soc. 135 (2007), 453-460
MSC (2000):
Primary 46A35
DOI:
https://doi.org/10.1090/S0002-9939-06-08485-1
Published electronically:
August 8, 2006
MathSciNet review:
2255291
Full-text PDF Free Access
Abstract | References | Similar Articles | Additional Information
Abstract: It is proved that any non-normable Fréchet space with a semi-symmetric absolute basis is isomorphic to the space 
of all scalar sequences. A similar result is shown for quasi-homogeneous absolute bases. It is also proved that any nuclear Fréchet space with a semi-subsymmetric basis is isomorphic to 
.
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czynski A., On a class of 
-spaces, Bull. Acad. Pol. Sci., 5(1957), 357-377. 
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asnosci baz w przestrzeniach typu 
, (in Polish), Prace Matematyczne 3(1959), 123-142. Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 46A35
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Additional Information
Wieslaw Sliwa
Affiliation:
Faculty of Mathematics and Computer Science, Adam Mickiewicz University, ul. Umultowska 87, 61-614 Poznań, Poland
Email:
sliwa@amu.edu.pl
DOI:
https://doi.org/10.1090/S0002-9939-06-08485-1
Keywords:
Symmetric,
semi-symmetric,
semi-subsymmetric,
quasi-homogeneous bases
Received by editor(s):
October 6, 2004
Received by editor(s) in revised form:
September 6, 2005
Published electronically:
August 8, 2006
Communicated by:
N. Tomczak-Jaegermann
Article copyright:
© Copyright 2006
American Mathematical Society