Ultrametric Functional Analysis

B. Diarra, A. Escassut, A. K. Katsaras, Lawrence Narici - Collection Contemporary Mathematics

370 pages, parution le 27/10/2005

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Résumé

With contributions by leading mathematicians, this proceedings volume reflects the program of the Eighth International Conference on $p$-adic Functional Analysis held at Blaise Pascal University (Clermont-Ferrand, France).

Articles in the book offer a comprehensive overview of research in the area. A wide range of topics are covered, including basic ultrametric functional analysis, topological vector spaces, measure and integration, Choquet theory, Banach and topological algebras, analytic functions (in particular, in connection with algebraic geometry), roots of rational functions and Frobenius structure in $p$-adic differential equations, and $q$-ultrametric calculus.

The material is suitable for graduate students and researchers interested in number theory, functional analysis, and algebra.

Readership : Graduate students and research mathematicians interested in number theory, functional analysis, and algebra.

Sommaire

J. Aguayo -- Vector measures and integral operators in the nonarchimedean setting
J. Aguayo, A. K. Katsaras, and S. Navarro -- On the dual space for the strict topology $\beta_1$ and the space $M(X)$ in function space
J. Aguayo, J. Goméz, M. Saavedra, and M. Wallace -- Perturbation of a $p$-adic dynamical system in two variables
J. Araujo -- Isomorphisms with small bound between spaces of $p$-adic continuous functions II
B. Diarra -- Ultrametric $q$-calculus
N. De Grande-De Kimpe and C. Perez-Garcia -- Strictness and closedness in $p$-adic inductive limits
P.-C. Hu and C.-C. Yang -- A note on Browkin-Brzezinski conjecture
A. K. Katsaras -- Non-Archimedean integration and strict topologies
H. A. Keller and H. O. A. -- Non-Archimedean orthomodular spaces and their residual spaces
A. N. Kochubei -- Polylogarithms and a zeta function for finite places of a function field
A. Kubzdela -- On finite-dimensional normed spaces over $C_p$
L. Narici and E. Beckenstein -- A non-Archimedean inner product
H. Ochsenius and W. H. Schikhof -- Lipschitz operators on Banach spaces over Krull valued fields
S. Priess-Crampe -- Remarks on some theorems of functional analysis
A. Pulita -- Frobenius structure for rank one $p$-adic differential equations
A. Salinier -- The ultrametric spectrum as an ordered set
M.-C. Sarmant -- Analytic roots of rational functions whose poles are on the unit circle
W. H. Schikhof -- $p$-adic Choquet theory
E. Schörner -- The spherical completion of normed vector spaces over fields with valuations of arbitrary rank
W. Sliwa -- On Köthe quotients of non-Archimedean Fréchet spaces
T. T. H. An and J. T.-Y. Wang -- Unique range sets for non-Archimedean entire functions in positive characteristic fields
F. Tangara -- Some continuous linear operators and orthogonal $q$-bases on the space of $p$-adic continuous functions defined on $\mathbb{Z}_p$
J. T.-Y. Wang -- Uniqueness polynomials, unique range sets and other uniqueness theorems

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	PAPIER
Éditeur(s)	American Mathematical Society (AMS)
Auteur(s)	B. Diarra, A. Escassut, A. K. Katsaras, Lawrence Narici
Collection	Contemporary Mathematics
Parution	27/10/2005
Nb. de pages	370
Format	17,5 x 25,5
Couverture	Relié
Poids	665g
Intérieur	Noir et Blanc
EAN13	9780821836842