Editors: G. Auchmuty (Houston), H. Brezis (Paris), S. S. Chern
(Berkeley), J. Damon (Chapel Hill), K. Davidson (Waterloo), L. C. Evans
(Berkeley), R. M. Hardt (Rice), J. A. Johnson (Houston), A. Lelek (Houston), J.
Nagata (Osaka), B. H. Neumann (Canberra), G. Pisier (College Station and Paris),
R. Scott (Houston), S. W. Semmes (Rice)
Managing Editor: K. Kaiser (Houston)
Bell, Howard E. Department of Mathematics, Brock University, St.
Catharines, Ontario, Canada L2S 3A1 (hbell@spartan.ac.brocku.ca) and Abraham
A. Klein School of Mathematical Sciences, Sackler Faculty of Exact Sciences,
Tel Aviv University, Tel Aviv, Israel 69978 (aaklein@math.tau.ac.il)
Ideals Contained in Subrings,
pp.1-8.
ABSTRACT.
Lewin has proved that if S is a ring and R a subring of finite index in S , then
R contains an ideal of S which is also of finite index; and Feigelstock has
recently shown that other classes of subrings must contain ideals belonging to
the same class. We provide some extensions of these results, and apply them to
prime rings. In the final section, we investigate finiteness of rings having
only finitely many n -th powers, where n s a fixed positive integer that is
greater or equal to 2.
Gilmer, Robert, Department of Mathematics, Florida State University,
Tallahassee, FL 32306-4510 (gilmer@math.fsu.edu) and Heinzer, William,
Department of Mathematics, Purdue University, W. Lafayette, IN 47907-1395
(heinzer@math.purdue.edu).
Prime Ideals of Finite Height in Polynomials Rings, pp. 9-20.
ABSTRACT.
We investigate the structure of prime ideals of finite height in polynomial
extension rings of a commutative unitary ring R . We consider the question of
finite generation of such prime ideals. The valuative dimension of prime ideals
of R plays an important role in our considerations. If X is an infinite set of
indeterminates over R , we prove that every prime ideal of R[X] of finite height
is finitely generated if and only if each P in Spec(R) of finite valuative
dimension is finitely generated and for each such P every finitely generated
extension domain of R/P is finitely presented. We prove that an integrally
closed domain D with the property that every prime ideal of finite height of
D[X] is finitely generated is a Pr\"ufer v-multiplication domain, and that if D
also satisfies d.c.c. on prime ideals, then D is a Krull domain in which each
height-one prime ideal is finitely generated.
Charatonik J.J., Charatonik W. J. , Miklos, S. , Mathematical Institute,
University of Wroclaw pl. Grunwaldzki 2/4, 50-384 Wroclaw, Poland (J. J.
Charatonik: jjc@hera.math.uni.wroc.pl; W. J. Charatonik:
wjcharat@hera.math.uni.wroc.pl; S. Miklos: miklos@hera.math.uni.wroc.pl) and
Spyrou, P. Department of Mathematics, University of Athens,
Panepistemiopolis, Athens 157 84, Greece, (pspirou@atlas.uoa.ariadne-t.gr).
On Open mappings of Locally Connected Continua onto Arcs, pp. 21-44.
ABSTRACT.
Several structural characterizations of locally connected continua that admit an
open mapping onto an arc are obtained.
Nikiel, J.,American University of Beirut, Beirut, Lebanon
(nikiel@layla.aub.ac.lb), Purisch, S., Barry University, Miami
Shores, FL 33161-6695 (purisch@buvax.barry.edu) Treybig, L.B.,
Texas A&M University, College Station, TX 77843-3368 (treybig@math.tamu.edu).
Separable zero-dimensional spaces which are continuous images of ordered
compacta, pp. 45-56.
ABSTRACT.
A structure theorem is proved about separable zero-dimensional spaces which are
continuous images of ordered compacta and it is shown that not all spaces in
this class are orderable themselves.
Fu, Joseph H.G. , University of Georgia Mathematics Department Athens,
GA 30602 (fu@math.uga.edu).
Wu, Hongyou, Department of Mathematics, Northern Illinois
University, DeKalb, Il 60115, USA (wu@math.niu.edu).
Coman, D., University of Notre Dame, Notre Dame IN
46556-5683 (Dan.F.Coman.2@nd.edu) and Dabija, M.,
University of Michigan, Ann Arbor MI 48109-1109 (mardab@math.lsa.umich.edu). Adrian Ionesco, Department of Mathematics and Computer Science, Texas
Lutheran University, Seguin, TX 78155.
Androulakis, George, University of Missouri, Cazacu, Constantin
D., University of Missouri, and Kalton, Nigel J., University of
Missouri, Columbia, MO 65211 (
nigel@math.missouri.edu ).
Fugarolas, M. A. , Universidad de Santiago de Compostela, Facultad de
Matematicas, Departamento de Analisis matematico, Campus Universitario Sur,
15706-Santiago de Compostela, Spain, (mafuga@zmat.usc.es).
Van Neerven, J.M.A.M., Alfred P. Sloan Laboratory of Mathematics,
California Institute of Technology, CA 91125 Pasadena, U.S.A.
(J.vanNeerven@twi.tudelft.nl) and Straub, B.
Department of Mathematics, Louisiana State University, Baton Rouge, LA 70803,
U.S.A. (bernd@maths.unsw.edu.au).
Kim, Sang Dong Department of Mathematics, Teachers College, Kyungpook
National University, Taegu, Korea, (skim@sobolev.kyungpook.ac.kr) and Shin,
Byeong Chun,
Basic Science Research Institution, Ajou University, Suwon, Korea,
(cshin@gauss.kyungpook.ac.kr).
On the Total Curvature of Parallel Families of Convex Sets in 3-dimensional
Riemannian Manifolds with Nonnegative Sectional Curvature,
pp. 57-64.
Foliations on Constant Curvature Surfaces Foliations on Constant Curvature
Surfaces and Nonlinear Partial Differential Equations, pp. 65-84
On the dynamics of some diffeomorphisms of C2 near parabolic fixed
points, pp. 85-96.
ABSTRACT. In this paper we consider diffeomorphisms
of C2 of the special form F(z,w)=(w,-z+2G(w)), where G is holomorphic
near 0 and G(0)=0, G'(0)=1. For such maps F the origin is a parabolic fixed
point. Under certain hypotheses on G we prove the existence of invariant complex
curves under F (and F-1 respectively), on which the forward (and
backward) iterates of F converge to the origin. These invariant curves are "one
sided": they are given as graphs of holomorphic functions defined on a domain in
C containing 0 on its boundary.
A Functional Calculus for Pairs of Commuting Polynomially Bounded Operators,
pp. 97-104.
ABSTRACT. A functional calculus valid for the class
of absolutely continuous pairs of commuting polynomially bounded operators is
defined.
Twisted Sums, Fenchel-Orlicz Spaces and Property (M) , pp.
105-126.
ABSTRACT. We study certain twisted sums of Orlicz sequence
spaces with non-trivial type with themselves which can be viewed as
Fenchel-Orlicz spaces over the real plane. We then show that a large class of
Fenchel-Orlicz spaces over finite dimensional spaces can be renormed to have
property (M). In particular this gives a new construction of certain twisted
Hilbert spaces and shows they have property (M), after an appropriate renorming.
Absolutely Summing Operators On Besov Spaces, pp. 127-136.
ABSTRACT. Let In be the identity operator on
an n-dimensional Banach space En. In this paper we establish upper
estimates, in terms of the cotype of En, for some ideal norms of In.
This results are applied to study absolutely summing operators on Besov spaces.
On the existence and growth of mild solutions of the abstract Cauchy problem
for operators with polynomially bounded resolvent, pp. 137-172.
On the exponential decay of C1 cubic Lagrange splines on
non-uniform meshes and for non-uniform data points, pp. 173-183.
ABSTRACT. The space of C1 cubic splines on a
given arbitrary mesh for [0,1] provides a unique interpolant to arbitrary data
given at 0 and 1 and at two arbitrary points in the interior of each mesh
interval. Sufficient conditions for the exponential decay of the corresponding
Lagrange functions are given, in terms of the distribution of the data points.
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