A characterization of the spherically complete normed spaces with a distinguished basis
Jose M. Bayod, J. Martinez Maurica (1983)
Compositio Mathematica
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Jose M. Bayod, J. Martinez Maurica (1983)
Compositio Mathematica
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Aleksandar Krapež, M.A. Taylor (1985)
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Pushkin, L. (2002)
Lobachevskii Journal of Mathematics
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Francisco J. Castro-Jiménez, M. Angeles Moreno-Frías (2002)
Banach Center Publications
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This paper deals with the notion of Gröbner δ-base for some rings of linear differential operators by adapting the works of W. Trinks, A. Assi, M. Insa and F. Pauer. We compare this notion with the one of Gröbner base for such rings. As an application we give some results on finiteness and on flatness of finitely generated left modules over these rings.
W. Grabowski, W. Szwarc (1966)
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Dorota Jacak (1987)
Applicationes Mathematicae
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Haghighi, Mahmood (1988)
International Journal of Mathematics and Mathematical Sciences
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Christoph Schmitt (2006)
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P.K. Jain, N.M. Kapoor (1980)
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Mikhail Y. Antonovskij (1981)
Mathematische Zeitschrift
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James R. Holub (1998)
Annales Polonici Mathematici
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E. Tutaj has introduced classes of Schauder bases termed "unconditional-like" (UL) and "unconditional-like*" (UL*) whose intersection is the class of unconditional bases. In view of this association with unconditional bases, it is interesting to note that there exist Banach spaces which have no unconditional basis and yet have a basis of one of these two types (e.g., the space 𝓞[0,1]). In the same spirit, we show in this paper that the space of all compact operators on a reflexive Banach...
Ann Verdoodt (2000)
Annales mathématiques Blaise Pascal
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