On the Algebraic Dimension Of Banach Spaces Over Non-Archimedean Valued Fields Of Arbitrary Rank
DOI:
https://doi.org/10.4067/S0716-09172007000300001Keywords:
Banach spaces, Valued fields, Algebraic dimension.Abstract
Let K be a complete non-archimedean valued field of any rank, and let E be a K-Banach space with a countable topological base. We determine the algebraic dimension of E (2.3, 2.4, 3.1).References
[1] T. Jech. Set Theory. San Diego: Academic Press. U. S. A., (1978).
[2] G. Köthe. Topological Vector spaces. New York: Springer-Verlag, (1969).
[3] H. Ochsenius and W. Schikhof. Banach spaces over fields with an in- finite rank valuation. In: p-adic Functional Analysis, Lecture Notes in pure and applied mathematics 207, edited by J. Kakol, N. De GrandeDe Kimpe and C. Perez-Garcia. Marcel Dekker, pp. 233-293, (1999).
[2] G. Köthe. Topological Vector spaces. New York: Springer-Verlag, (1969).
[3] H. Ochsenius and W. Schikhof. Banach spaces over fields with an in- finite rank valuation. In: p-adic Functional Analysis, Lecture Notes in pure and applied mathematics 207, edited by J. Kakol, N. De GrandeDe Kimpe and C. Perez-Garcia. Marcel Dekker, pp. 233-293, (1999).
Published
2017-04-12
How to Cite
[1]
H. Ochsenius and W. H. Schikhof, “On the Algebraic Dimension Of Banach Spaces Over Non-Archimedean Valued Fields Of Arbitrary Rank”, Proyecciones (Antofagasta, On line), vol. 26, no. 3, pp. 237-244, Apr. 2017.
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