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ON THE ALGEBRAIC DIMENSION OF BANACH SPACES OVER NON-ARCHIMEDEAN VALUED FIELDS OR ARBITRARY RANK
(Universidad Católica del Norte, Departamento de Matemáticas, 2007)
A comprehensive survey of non-archimedean analysis in banach spaces over fields with an infinite rank valuation
(AMERICAN MATHEMATICAL SOCIETY, 2013)
Compact polynomial on non-archimedean banach spaces
(Universidad Nacuional de Colombia; Sociedad Colombiana de matemáticas, 1989)
The object of the present note is to prove that every compact polynomial between non-Archimedean Banach spaces over a complete discretely valued field of characteristic zero is a limit of a sequence of polynomials of finite rank.
Characterization of compact and self-adjoint operators on free Banach spaces of countable type over the complex Levi-Civita field
(American institute of physics., 2015)
Characterization of compact and self-adjoint operators on free Banach spaces of countable type over the complex Levi-Civita field
(American institute of physics., 2015)
Generalized Open Mapping Theorem for X-normed spaces
(2019)
The theory of X-normed spaces over non-Archimedean valued fields with valuations of higher rank was introduced by H. Ochsenius and W. H. Schikhof in [1] and further developed in [2–4, 6, 7] and [5]. In order to obtain ...