Expected publication date is April 27, 2003
Description
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.
Contents
J. Aguayo and M. Nova -- Non-archimedean integral operators on the space of continuous functions
J. Araujo -- Isomorphisms with small bound between spaces of p-adic continuous functions
E. Beckenstein and L. Narici -- Automatic continuity of basis separating maps
M. Berz -- Cauchy theory on Levi-Civita fields
A. Boutabaa and A. Escassut -- Uniqueness problems and applications of the ultrametric Nevanlinna theory
B. Diarra -- The Hopf algebra structure of the space of continuous functions on power series over mathbb{F}_q and Carlitz polynomials
N. De Grande-de Kimpe, J. Kakol, and C. Perez-Garcia -- Metrizability of compactoid sets in non-archimedean Hausdorff (LM)-spaces
A. K. Katsaras -- Strict topologies and vector-measures on non-archimedean spaces
A. K. Katsaras and C. G. Petalas -- P-adic spaces with strict topologies as topological algebras
A. Khrennikov and S. Ludkovsky -- Non-archimedean stochastic processes
A. Khrennikov, M. Nilsson, and R. Nyqvist -- The asymptotic number of periodic points of discrete polynomial p-adic dynamical systems
A. N. Kochubei -- Analysis and probability over infinite extensions of a local field, II: A multiplicative theory
A. Kubzdela -- The Hahn-Banach subspaces of Banach spaces with base
A. J. Lemin and V. Lemin -- On metrically universal ultrametric spaces LV_{tau} and LW_{tau}
N. Mainetti -- Gelfand transform and spectral radius formulae for ultrametric Banach algebras
P. N. Natarajan -- A theorem on summability factors for regular methods in complete ultrametric fields
H. Ochsenius -- Hilbert-like spaces over Krull valued fields
H. Ochsenius and W. H. Schikhof -- Compact operators on non-classical Hilbert spaces
C. Perez-Garcia -- Locally convex spaces over non-archimedean valued fields
C. Perez-Garcia and W. H. Schikhof -- Finite-dimensional orthocomplemented subspaces in p-adic normed spaces
S. Priess-Crampe and P. Ribenboim -- Systems of differential equations over valued fields
J. Rivera-Letelier -- Bi-analytic elements and partial isometries of hyperbolic space
M.-C. Sarmant -- Analytic roots of solutions of p-adic differential equations
K. Shamseddine and M. Berz -- Measure theory and integration on the Levi-Civita field
W. Sliwa -- On block basic sequences in non-archimedean Frechet spaces
P.-A. Svensson -- Dynamical systems in unramified or totally ramified extensions of the p-adic number field
L. van Hamme -- p-adic analysis and the calculus of finite differences
Details:
Series: Contemporary Mathematics, Volume:
319
Publication Year: 2003
ISBN: 0-8218-3320-0
Paging: approximately 432 pp.
Binding: Softcover
Expected publication date is May 14, 2003
Description
This volume contains proceedings of the conference
on Trends in
Banach Spaces and Operator Theory, which
was devoted to recent
advances in theories of Banach spaces and
linear operators.
Included in the volume are 25 papers, some
of which are
expository, while others present new results.
The articles
address the following topics: history of
the famous James'
theorem on reflexivity, projective tensor
products, construction
of noncommutative L_p-spaces via interpolation,
Banach spaces
with abundance of nontrivial operators, Banach
spaces with small
spaces of operators, convex geometry of Coxeter-invariant
polyhedra, uniqueness of unconditional bases
in quasi-Banach
spaces, dynamics of cohyponormal operators,
and Fourier algebras
for locally compact groupoids.
The book is suitable for graduate students
and research
mathematicians interested in Banach spaces
and operator theory
and their applications.
Contents
M. D. Acosta, J. B. Guerrero, and M. R. Galan -- Characterizations of the reflexive spaces in the spirit of James' Theorem
F. Albiac, N. J. Kalton, and C. Leranoz -- Uniqueness of unconditional bases in quasi-Banach spaces
G. Androulakis -- A note on the method of minimal vectors
J. Diestel, J. Fourie, and J. Swart -- The projective tensor product I
S. J. Dilworth and V. G. Troitsky -- Spectrum of a weakly hypercyclic operator meets the unit circle
N. S. Feldman -- The dynamics of cohyponormal operators
E. A. Gallardo-Gutierrez and M. J. Gonzalez -- Hilbert-Schmidt composition operators on Dirichlet spaces
N. J. Kalton -- A remark on sectorial operators with an H^{infty}- calculus
J. Kawabe -- Borel injective tensor product and convolution of vector measures and their weak convergence
V. A. Khatskevich and V. S. Shulman -- On linear operator pencils and inclusions of images of balls
D. H. Leung and W.-K. Tang -- Ordinal indices and ell^1-spreading models
J. Lopez-Gomez and C. Mora-Corral -- Characterizing the existence of local Smith forms for mathcal{C}^infty families of matrix operators
N. McCarthy, D. Ogilvie, N. Zobin, and V. Zobin -- Convex geometry of Coxeter-invariant polyhedra
J. Miao -- Commutators on bounded symmetric domains in mathbb{C}^n
T. L. Miller, V. G. Miller, and M. M. Neumann -- Growth conditions and decomposable extensions
J. Moorhouse and C. Toews -- Differences of composition operators
G. A. Munoz -- Complex vs real variables for real 3-homogeneous polynomials on ell_1^2: A counterexample
A. L. T. Paterson -- The Fourier-Stieltjes and Fourier algebras for locally compact groupoids
G. T. Prajitura -- Preserving the commutant under functional calculus
Y. Raynaud -- L_p-spaces associated with a von Neumann algebra without trace: a gentle introduction via complex interpolation
H. P. Rosenthal -- Banach and operator space structure of C^*-algebras
T. Schlumprecht -- How many operators exist on a Banach space?
G. V. Wood -- Maximal algebra norms
A. Zsak -- On Banach spaces with small spaces of operators
A. Zvavitch -- A remark on p-summing norms of operators
Details:
Series: Contemporary Mathematics, Volume:
321
Publication Year: 2003
ISBN: 0-8218-3234-4
Paging: 366 pp.
Binding: Softcover
(Pure and Applied Mathematics, Volume 140)
Contents
Includes reviews of real analysis and an
extensive treatment of
Lebesgue spaces.
Develops at length the intrinsic definition
and properties of
Sobolev spaces, in particular their imbedding,
compact imbedding,
interpolation and extension properties.
Provides a thorough treatment of the real
interpolation method
and its application to Lorentz and Besov
spaces.
Includes surveys of other fractional-order
spaces (Bessel
potentials, Triebel-Lizorkin).
Develops the theory of Orlicz and Orlicz-Sobolev
spaces and their
imbeddings.
Readership: Graduate students in Mathematics
and Applied
Mathematics. Researchers in Numerical Analysis
and various
Physical Sciences.
ISBN: 0-12-044143-8 Book/Hardback
Measurements: 6 X 9 in
Pages: 300
ISBN: 0-8053-8662-9
Copyright: 2003
Format: Cloth; 656 pp
Description
Einstein's theory of general relativity is
a cornerstone of
modern physics. It also touches upon a wealth
of topics that
students find fascinating?black holes, warped
spacetime,
gravitational waves, and cosmology. Until
now, it has not been
included in the curriculum of many undergraduate
physics courses
because the required math is too advanced.
The aim of this ground-breaking
new text is to bring general relativity into
the undergraduate
curriculum and make this fundamental theory
accessible to
virtually all physics majors. Using a "physics
first"
approach to the subject, renowned relativist
James Hartle
provides a fluent and accessible introduction
that uses a minimum
of new mathematics and illustrates a wealth
of applications.
Recognizing that there is not enough time
in a short introductory
course to present the traditional, tensor
theory approach, James
Hartle provides in this book a number of
pedagogical innovations.
International Series of Numerical Mathematics,
Vol. 142
2003. 288 pages. Hardcover
ISBN 3-7643-6648-6
English
The current form of modern approximation
theory is shaped by many
new developments which are the subject of
the International
Dortmund Meetings on Approximation Theory
(IDoMAT). This volume
contains refereed articles originating from
IDoMAT 2001 that took
place in Witten-Bommerholz in August 2001.
The contributors are
renowned international experts in their individual
field of
research, including approximation methods,
orthogonal
polynomials, radial basis functions, multivariate
spline
approximation and interpolation, Pade approximation,
polynomial
approximation, and quasi-interpolation. As
many applications to
areas such as CAD or tomography are discussed,
the book should be
of interest to both mathematicians and engineers.
Contents
Preface (-) List of Participants (-) Contributions
by H. Bavinck,
M.G. de Bruin, W. zu Castell, D.H. Mache,
F. Fibir, N.L.
Fernandez, C. Fredebeul, M. Hollenhorst,
V.N. Konovalov, R.
Lasser, D. Leviatan, D.S. Lubinsky, H.N.
Mhaskar, J. Obermaier, I.
Rasa, M. Revers, C.H. Rohwer, P. Sablonniere,
R. Schablack, J.
Szabados, L. Szili, R. Szwarc, V. Totic,
P. Vertesi, H. Wendland
Progress in Mathematics, Vol. 211
2003. 224 pages. Hardcover
ISBN 3-7643-7000-9
English
This book concerns discrete-time homogeneous
Markov chains that
admit an invariant probability measure.
The main objective is to give a systematic,
self-contained
presentation on some key issues about the
ergodic behavior of
that class of Markov chains. These issues
include, in particular,
the various types of convergence of expected
and pathwise
occupation measures, and ergodic decompositions
of the state
space. Some of the results presented appear
for the first time in
book form. A distinguishing feature of the
book is the emphasis
on the role of expected occupation measures
to study the long-run
behavior of Markov chains on uncountable
spaces. The intended
audience are graduate students and researchers
in theoretical and
applied probability, operations research,
engineering and
economics.