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Softcover ISBN:  9781470434915 
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Softcover ISBN:  9781470434915 
Product Code:  CONM/704 
List Price:  $130.00 
MAA Member Price:  $117.00 
AMS Member Price:  $104.00 
eBook ISBN:  9781470446765 
Product Code:  CONM/704.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
Softcover ISBN:  9781470434915 
eBook ISBN:  9781470446765 
Product Code:  CONM/704.B 
List Price:  $255.00 $192.50 
MAA Member Price:  $229.50 $173.25 
AMS Member Price:  $204.00 $154.00 

Book DetailsContemporary MathematicsVolume: 704; 2018; 290 ppMSC: Primary 06; 11; 12; 30; 37; 40; 46; 47
This book contains the proceedings of the 14th International Conference on \(p\)adic Functional Analysis, held from June 30–July 4, 2016, at the Université d'Auvergne, Aurillac, France.
Articles included in this book feature recent developments in various areas of nonArchimedean analysis: summation of \(p\)adic series, rational maps on the projective line over \(\mathbb{Q}p\), nonArchimedean HahnBanach theorems, ultrametric Calkin algebras, \(G\)modules with a convex base, noncompact Trace class operators and Schattenclass operators in \(p\)adic Hilbert spaces, algebras of strictly differentiable functions, inverse function theorem and mean value theorem in LeviCivita fields, ultrametric spectra of commutative nonunital Banach rings, classes of nonArchimedean Köthe spaces, \(p\)adic Nevanlinna theory and applications, and subcoordinate representation of \(p\)adic functions. Moreover, a paper on the history of \(p\)adic analysis with a comparative summary of nonArchimedean fields is presented.
Through a combination of new research articles and a survey paper, this book provides the reader with an overview of current developments and techniques in nonArchimedean analysis as well as a broad knowledge of some of the subareas of this exciting and fastdeveloping research area.
ReadershipGraduate students and research mathematicians interested in functional analysis, \(p\)adic analysis, and \(p\)adic dynamical systems.

Table of Contents

Articles

Angel Barría Comicheo and Khodr Shamseddine — Summary on nonArchimedean valued fields

S. Basu — Noncompact Trace class operators and Schattenclass operators in $p$adic Hilbert spaces

Gidon Bookatz and Khodr Shamseddine — Calculus on a nonArchimedean field extension of the real numbers: inverse function theorem, intermediate value theorem and mean value theorem

Kamal Boussaf and Alain Escassut — $p$adic meromorphic functions $f’P’(f),\ g’P’(g)$ sharing a small function, ignoring multiplicity

ChiWai Leung and ChiKeung Ng — Spectra of commutative nonunital Banach rings

Bertin Diarra — Ultrametric Calkin algebras

Branko Dragovich — On summation of $p$adic series

Alain Escassut and Nicolas Maïnetti — Spectrum of ultrametric Banach algebras of strictly differentiable functions

Alain Escassut and Ta Thi Hoai An — Classical $p$adic Nevanlinna theory and Nevalinna Theory out of a hole

Albert Kubzdela — The distance preserving mappings and isometrics defined on nonArchimedean Banach spaces

Shilei Fan and Lingmin Liao — Rational map $ax+1/x$ on the projective line over $\mathbb {Q}_{p}$

M. González and C. PerezGarcia — NonArchimedean HahnBanach theorems and injective Banach spaces

H. Ochsenius and E. Olivos — $G$modules with a convex base

Yvette Perrin — A journey throughout the history of $p$adic numbers

Wiesław Śliwa and Agnieszka Ziemkowska — On some classes of nonArchimedean Köthe spaces

Ekaterina Yurova Axelsson — On the subcoordinate representation of $p$adic functions


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This book contains the proceedings of the 14th International Conference on \(p\)adic Functional Analysis, held from June 30–July 4, 2016, at the Université d'Auvergne, Aurillac, France.
Articles included in this book feature recent developments in various areas of nonArchimedean analysis: summation of \(p\)adic series, rational maps on the projective line over \(\mathbb{Q}p\), nonArchimedean HahnBanach theorems, ultrametric Calkin algebras, \(G\)modules with a convex base, noncompact Trace class operators and Schattenclass operators in \(p\)adic Hilbert spaces, algebras of strictly differentiable functions, inverse function theorem and mean value theorem in LeviCivita fields, ultrametric spectra of commutative nonunital Banach rings, classes of nonArchimedean Köthe spaces, \(p\)adic Nevanlinna theory and applications, and subcoordinate representation of \(p\)adic functions. Moreover, a paper on the history of \(p\)adic analysis with a comparative summary of nonArchimedean fields is presented.
Through a combination of new research articles and a survey paper, this book provides the reader with an overview of current developments and techniques in nonArchimedean analysis as well as a broad knowledge of some of the subareas of this exciting and fastdeveloping research area.
Graduate students and research mathematicians interested in functional analysis, \(p\)adic analysis, and \(p\)adic dynamical systems.

Articles

Angel Barría Comicheo and Khodr Shamseddine — Summary on nonArchimedean valued fields

S. Basu — Noncompact Trace class operators and Schattenclass operators in $p$adic Hilbert spaces

Gidon Bookatz and Khodr Shamseddine — Calculus on a nonArchimedean field extension of the real numbers: inverse function theorem, intermediate value theorem and mean value theorem

Kamal Boussaf and Alain Escassut — $p$adic meromorphic functions $f’P’(f),\ g’P’(g)$ sharing a small function, ignoring multiplicity

ChiWai Leung and ChiKeung Ng — Spectra of commutative nonunital Banach rings

Bertin Diarra — Ultrametric Calkin algebras

Branko Dragovich — On summation of $p$adic series

Alain Escassut and Nicolas Maïnetti — Spectrum of ultrametric Banach algebras of strictly differentiable functions

Alain Escassut and Ta Thi Hoai An — Classical $p$adic Nevanlinna theory and Nevalinna Theory out of a hole

Albert Kubzdela — The distance preserving mappings and isometrics defined on nonArchimedean Banach spaces

Shilei Fan and Lingmin Liao — Rational map $ax+1/x$ on the projective line over $\mathbb {Q}_{p}$

M. González and C. PerezGarcia — NonArchimedean HahnBanach theorems and injective Banach spaces

H. Ochsenius and E. Olivos — $G$modules with a convex base

Yvette Perrin — A journey throughout the history of $p$adic numbers

Wiesław Śliwa and Agnieszka Ziemkowska — On some classes of nonArchimedean Köthe spaces

Ekaterina Yurova Axelsson — On the subcoordinate representation of $p$adic functions