Item Successfully Added to Cart
An error was encountered while trying to add the item to the cart. Please try again.
OK
Please make all selections above before adding to cart
OK
Share this page via the icons above, or by copying the link below:
Copy To Clipboard
Successfully Copied!
Ultrametric Functional Analysis
 
Edited by: W. H. Schikhof University of Nijmegen, The Netherlands
C. Perez-Garcia Universidad de Cantabria, Santander, Spain
A. Escassut Université Blaise Pascal, Aubiére, France
Ultrametric Functional Analysis
eBook ISBN:  978-0-8218-7909-2
Product Code:  CONM/319.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Ultrametric Functional Analysis
Click above image for expanded view
Ultrametric Functional Analysis
Edited by: W. H. Schikhof University of Nijmegen, The Netherlands
C. Perez-Garcia Universidad de Cantabria, Santander, Spain
A. Escassut Université Blaise Pascal, Aubiére, France
eBook ISBN:  978-0-8218-7909-2
Product Code:  CONM/319.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 3192003; 422 pp
    MSC: Primary 11; 12; 16; 30; 37; 46; 47; 54; 60;

    This volume contains research articles based on lectures given at the Seventh International Conference on \(p\)-adic Functional Analysis.

    The articles, written by leading international experts, provide a complete overview of the latest contributions in basic functional analysis (Hilbert and Banach spaces, locally convex spaces, orthogonality, inductive limits, spaces of continuous functions, strict topologies, operator theory, automatic continuity, measure and integrations, Banach and topological algebras, summability methods, and ultrametric spaces), analytic functions (meromorphic functions, roots of rational functions, characterization of injective holomorphic functions, and Gelfand transforms in algebras of analytic functions), differential equations, Banach-Hopf algebras, Cauchy theory of Levi-Civita fields, finite differences, weighted means, \(p\)-adic dynamical systems, and non-Archimedean probability theory and stochastic processes.

    The book is written for graduate students and research mathematicians. It also would make a good reference source for those in related areas, such as classical functional analysis, complex analytic functions, probability theory, dynamical systems, orthomodular spaces, number theory, and representations of \(p\)-adic groups.

    Readership

    Graduate students and research mathematicians interested in functional analysis, algebra, number theory, topology, theoretical physics and related areas.

  • Table of Contents
     
     
    • Articles
    • José Aguayo and Miguel Nova — Non-Archimedean integral operators on the space of continuous functions [ MR 1977434 ]
    • Jesús Araujo — Isomorphisms with small bound between spaces of $p$-adic continuous functions [ MR 1977435 ]
    • Edward Beckenstein and Lawrence Narici — Automatic continuity of basis separating maps [ MR 1977436 ]
    • Martin Berz — Cauchy theory on Levi-Civita fields [ MR 1977437 ]
    • Abdelbaki Boutabaa and Alain Escassut — Uniqueness problems and applications of the ultrametric Nevanlinna theory [ MR 1977438 ]
    • Bertin Diarra — The Hopf algebra structure of the space of continuous functions on power series over $\Bbb F_q$ and Carlitz polynomials [ MR 1977439 ]
    • N. De Grande-De Kimpe, J. Ka̧kol and C. Perez-Garcia — Metrizability of compactoid sets in non-Archimedean Hausdorff (LM)-spaces [ MR 1977440 ]
    • A. K. Katsaras — Strict topologies and vector-measures on non-Archimedean spaces [ MR 1977441 ]
    • A. K. Katsaras and C. G. Petalas — $p$-adic spaces with strict topologies as topological algebras [ MR 1977442 ]
    • Andrei Khrennikov and Sergei Ludkovsky — Non-Archimedean stochastic processes [ MR 1977443 ]
    • Andrei Khrennikov, Marcus Nilsson and Robert Nyqvist — The asymptotic number of periodic points of discrete polynomial $p$-adic dynamical systems [ MR 1977444 ]
    • Anatoly N. Kochubei — Analysis and probability over infinite extensions of a local field. II. A multiplicative theory [ MR 1977445 ]
    • Albert Kubzdela — The Hahn-Banach subspaces of Banach spaces with base [ MR 1977446 ]
    • Alex J. Lemin and Vladimir Lemin — On metrically universal ultrametric spaces $LV_\tau $ and $LW_\tau $ [ MR 1977447 ]
    • Nicolas Maïnetti — Gelfand transform and spectral radius formulae for ultrametric Banach algebras [ MR 1977448 ]
    • P. N. Natarajan — A theorem on summability factors for regular methods in complete ultrametric fields [ MR 1977449 ]
    • H. Ochsenius — Hilbert-like spaces over Krull valued fields [ MR 1977450 ]
    • H. Ochsenius and W. H. Schikhof — Compact operators on non-classical Hilbert spaces [ MR 1977451 ]
    • C. Perez-Garcia — Locally convex spaces over non-Archimedean valued fields [ MR 1977452 ]
    • C. Perez-Garcia and W. H. Schikhof — Finite-dimensional orthocomplemented subspaces in $p$-adic normed spaces [ MR 1977453 ]
    • Sibylla Priess-Crampe and Paulo Ribenboim — Systems of differential equations over valued fields [ MR 1977454 ]
    • Juan Rivera-Letelier — Bi-analytic elements and partial isometries of hyperbolic space [ MR 1977455 ]
    • Marie-Claude Sarmant — Analytic roots of solutions of $p$-adic differential equations [ MR 1977456 ]
    • Khodr Shamseddine and Martin Berz — Measure theory and integration on the Levi-Civita field [ MR 1977457 ]
    • Wiesław Śliwa — On block basic sequences in non-Archimedean Fréchet spaces [ MR 1977458 ]
    • Per-Anders Svensson — Dynamical systems in unramified or totally ramified extensions of the $p$-adic number field [ MR 1977459 ]
    • Lucien van Hamme — $p$-adic analysis and the calculus of finite differences [ MR 1977460 ]
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 3192003; 422 pp
MSC: Primary 11; 12; 16; 30; 37; 46; 47; 54; 60;

This volume contains research articles based on lectures given at the Seventh International Conference on \(p\)-adic Functional Analysis.

The articles, written by leading international experts, provide a complete overview of the latest contributions in basic functional analysis (Hilbert and Banach spaces, locally convex spaces, orthogonality, inductive limits, spaces of continuous functions, strict topologies, operator theory, automatic continuity, measure and integrations, Banach and topological algebras, summability methods, and ultrametric spaces), analytic functions (meromorphic functions, roots of rational functions, characterization of injective holomorphic functions, and Gelfand transforms in algebras of analytic functions), differential equations, Banach-Hopf algebras, Cauchy theory of Levi-Civita fields, finite differences, weighted means, \(p\)-adic dynamical systems, and non-Archimedean probability theory and stochastic processes.

The book is written for graduate students and research mathematicians. It also would make a good reference source for those in related areas, such as classical functional analysis, complex analytic functions, probability theory, dynamical systems, orthomodular spaces, number theory, and representations of \(p\)-adic groups.

Readership

Graduate students and research mathematicians interested in functional analysis, algebra, number theory, topology, theoretical physics and related areas.

  • Articles
  • José Aguayo and Miguel Nova — Non-Archimedean integral operators on the space of continuous functions [ MR 1977434 ]
  • Jesús Araujo — Isomorphisms with small bound between spaces of $p$-adic continuous functions [ MR 1977435 ]
  • Edward Beckenstein and Lawrence Narici — Automatic continuity of basis separating maps [ MR 1977436 ]
  • Martin Berz — Cauchy theory on Levi-Civita fields [ MR 1977437 ]
  • Abdelbaki Boutabaa and Alain Escassut — Uniqueness problems and applications of the ultrametric Nevanlinna theory [ MR 1977438 ]
  • Bertin Diarra — The Hopf algebra structure of the space of continuous functions on power series over $\Bbb F_q$ and Carlitz polynomials [ MR 1977439 ]
  • N. De Grande-De Kimpe, J. Ka̧kol and C. Perez-Garcia — Metrizability of compactoid sets in non-Archimedean Hausdorff (LM)-spaces [ MR 1977440 ]
  • A. K. Katsaras — Strict topologies and vector-measures on non-Archimedean spaces [ MR 1977441 ]
  • A. K. Katsaras and C. G. Petalas — $p$-adic spaces with strict topologies as topological algebras [ MR 1977442 ]
  • Andrei Khrennikov and Sergei Ludkovsky — Non-Archimedean stochastic processes [ MR 1977443 ]
  • Andrei Khrennikov, Marcus Nilsson and Robert Nyqvist — The asymptotic number of periodic points of discrete polynomial $p$-adic dynamical systems [ MR 1977444 ]
  • Anatoly N. Kochubei — Analysis and probability over infinite extensions of a local field. II. A multiplicative theory [ MR 1977445 ]
  • Albert Kubzdela — The Hahn-Banach subspaces of Banach spaces with base [ MR 1977446 ]
  • Alex J. Lemin and Vladimir Lemin — On metrically universal ultrametric spaces $LV_\tau $ and $LW_\tau $ [ MR 1977447 ]
  • Nicolas Maïnetti — Gelfand transform and spectral radius formulae for ultrametric Banach algebras [ MR 1977448 ]
  • P. N. Natarajan — A theorem on summability factors for regular methods in complete ultrametric fields [ MR 1977449 ]
  • H. Ochsenius — Hilbert-like spaces over Krull valued fields [ MR 1977450 ]
  • H. Ochsenius and W. H. Schikhof — Compact operators on non-classical Hilbert spaces [ MR 1977451 ]
  • C. Perez-Garcia — Locally convex spaces over non-Archimedean valued fields [ MR 1977452 ]
  • C. Perez-Garcia and W. H. Schikhof — Finite-dimensional orthocomplemented subspaces in $p$-adic normed spaces [ MR 1977453 ]
  • Sibylla Priess-Crampe and Paulo Ribenboim — Systems of differential equations over valued fields [ MR 1977454 ]
  • Juan Rivera-Letelier — Bi-analytic elements and partial isometries of hyperbolic space [ MR 1977455 ]
  • Marie-Claude Sarmant — Analytic roots of solutions of $p$-adic differential equations [ MR 1977456 ]
  • Khodr Shamseddine and Martin Berz — Measure theory and integration on the Levi-Civita field [ MR 1977457 ]
  • Wiesław Śliwa — On block basic sequences in non-Archimedean Fréchet spaces [ MR 1977458 ]
  • Per-Anders Svensson — Dynamical systems in unramified or totally ramified extensions of the $p$-adic number field [ MR 1977459 ]
  • Lucien van Hamme — $p$-adic analysis and the calculus of finite differences [ MR 1977460 ]
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.