Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

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Contents of Volume 128, Number 5
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The Bieri-Neumann-Strebel invariant for basis-conjugating automorphisms of free groups: Lisa A. Orlandi-Korner; Proc. Amer. Math. Soc. 128 (2000), 1257-1262; DOI: https://doi.org/10.1090/S0002-9939-00-05678-1; Published electronically: February 7, 2000; PDF

The Hochschild cohomology ring of a cyclic block: Stephen F. Siegel and Sarah J. Witherspoon; Proc. Amer. Math. Soc. 128 (2000), 1263-1268; DOI: https://doi.org/10.1090/S0002-9939-00-05466-6; Published electronically: February 7, 2000; PDF

Partitions with parts in a finite set: Melvyn B. Nathanson; Proc. Amer. Math. Soc. 128 (2000), 1269-1273; DOI: https://doi.org/10.1090/S0002-9939-00-05606-9; Published electronically: February 7, 2000; PDF

Analytic continuation of multiple zeta functions: Jianqiang Zhao; Proc. Amer. Math. Soc. 128 (2000), 1275-1283; DOI: https://doi.org/10.1090/S0002-9939-99-05398-8; Published electronically: August 5, 1999; PDF

Iwasawa invariants and class numbers of quadratic fields for the prime $3$: Hisao Taya; Proc. Amer. Math. Soc. 128 (2000), 1285-1292; DOI: https://doi.org/10.1090/S0002-9939-99-05177-1; Published electronically: August 3, 1999; PDF

On Castelnuovo-Mumford regularity of projective curves: Isabel Bermejo and Philippe Gimenez; Proc. Amer. Math. Soc. 128 (2000), 1293-1299; DOI: https://doi.org/10.1090/S0002-9939-99-05184-9; Published electronically: August 5, 1999; PDF

Representations of skew polynomial algebras: Søren Jøndrup; Proc. Amer. Math. Soc. 128 (2000), 1301-1305; DOI: https://doi.org/10.1090/S0002-9939-99-05148-5; Published electronically: August 3, 1999; PDF

Generalized Matlis duality: Richard G. Belshoff, Edgar E. Enochs and Juan Ramon García Rozas; Proc. Amer. Math. Soc. 128 (2000), 1307-1312; DOI: https://doi.org/10.1090/S0002-9939-99-05130-8; Published electronically: October 18, 1999; PDF

Decidability of the representation extension property for finite semigroups: Kunitaka Shoji; Proc. Amer. Math. Soc. 128 (2000), 1313-1317; DOI: https://doi.org/10.1090/S0002-9939-00-05624-0; Published electronically: February 7, 2000; PDF

Class number 3 problem for the simplest cubic fields: Dongho Byeon; Proc. Amer. Math. Soc. 128 (2000), 1319-1323; DOI: https://doi.org/10.1090/S0002-9939-99-05330-7; Published electronically: October 27, 1999; PDF

A bound on the reduction number of a primary ideal: M. E. Rossi; Proc. Amer. Math. Soc. 128 (2000), 1325-1332; DOI: https://doi.org/10.1090/S0002-9939-99-05393-9; Published electronically: October 5, 1999; PDF

The sixth, eighth, ninth, and tenth powers of Ramanujan’s theta function: Scott Ahlgren; Proc. Amer. Math. Soc. 128 (2000), 1333-1338; DOI: https://doi.org/10.1090/S0002-9939-99-05181-3; Published electronically: October 6, 1999; PDF

Representation of feedback operators for parabolic control problems: Belinda B. King; Proc. Amer. Math. Soc. 128 (2000), 1339-1346; DOI: https://doi.org/10.1090/S0002-9939-00-05647-1; Published electronically: February 7, 2000; PDF

Splittings of Banach spaces induced by Clifford algebras: N. L. Carothers, S. J. Dilworth and David Sobecki; Proc. Amer. Math. Soc. 128 (2000), 1347-1356; DOI: https://doi.org/10.1090/S0002-9939-99-05374-5; Published electronically: October 18, 1999; PDF

Factoring weakly compact operators and the inhomogeneous Cauchy problem: Diómedes Bárcenas; Proc. Amer. Math. Soc. 128 (2000), 1357-1360; DOI: https://doi.org/10.1090/S0002-9939-99-05127-8; Published electronically: October 18, 1999; PDF

On the stability of approximately additive mappings: Yang-Hi Lee and Kil-Woung Jun; Proc. Amer. Math. Soc. 128 (2000), 1361-1369; DOI: https://doi.org/10.1090/S0002-9939-99-05156-4; Published electronically: August 5, 1999; PDF

The spectral properties of certain linear operators and their extensions: Bruce A. Barnes; Proc. Amer. Math. Soc. 128 (2000), 1371-1375; DOI: https://doi.org/10.1090/S0002-9939-99-05326-5; Published electronically: August 5, 1999; PDF

A perturbed ergodic theorem: Radu-Nicolae Gologan; Proc. Amer. Math. Soc. 128 (2000), 1377-1380; DOI: https://doi.org/10.1090/S0002-9939-99-05243-0; Published electronically: August 17, 1999; PDF

The converse of the Inverse-Conjugacy Theorem for unitary operators and ergodic dynamical systems: Geoffrey R. Goodson; Proc. Amer. Math. Soc. 128 (2000), 1381-1388; DOI: https://doi.org/10.1090/S0002-9939-99-05143-6; Published electronically: August 5, 1999; PDF

A remark on analytic continuation: A. F. Beardon; Proc. Amer. Math. Soc. 128 (2000), 1389-1390; DOI: https://doi.org/10.1090/S0002-9939-99-05129-1; Published electronically: August 5, 1999; PDF

The Hausdorff operator is bounded on the real Hardy space $H^1(\mathbb {R})$: Elijah Liflyand and Ferenc Móricz; Proc. Amer. Math. Soc. 128 (2000), 1391-1396; DOI: https://doi.org/10.1090/S0002-9939-99-05159-X; Published electronically: August 5, 1999; PDF

A relation between certain interpolated Cuntz algebras and interpolated free group factors: Yoshimichi Ueda and Yasuo Watatani; Proc. Amer. Math. Soc. 128 (2000), 1397-1404; DOI: https://doi.org/10.1090/S0002-9939-99-05470-2; Published electronically: September 27, 1999; PDF

Toeplitz algebras on discrete abelian quasily ordered groups: Xu Qingxiang; Proc. Amer. Math. Soc. 128 (2000), 1405-1408; DOI: https://doi.org/10.1090/S0002-9939-99-05268-5; Published electronically: August 5, 1999; PDF

Local automorphisms: Randall Crist; Proc. Amer. Math. Soc. 128 (2000), 1409-1414; DOI: https://doi.org/10.1090/S0002-9939-99-05282-X; Published electronically: August 5, 1999; PDF

Hilbert space idempotents and involutions: Don Buckholtz; Proc. Amer. Math. Soc. 128 (2000), 1415-1418; DOI: https://doi.org/10.1090/S0002-9939-99-05233-8; Published electronically: October 5, 1999; PDF

Weak amenability of Segal algebras: H. G. Dales and S. S. Pandey; Proc. Amer. Math. Soc. 128 (2000), 1419-1425; DOI: https://doi.org/10.1090/S0002-9939-99-05139-4; Published electronically: October 6, 1999; PDF

On exact quadrature formulas for harmonic functions on polyhedra: Björn Gustafsson and Mihai Putinar; Proc. Amer. Math. Soc. 128 (2000), 1427-1432; DOI: https://doi.org/10.1090/S0002-9939-99-05295-8; Published electronically: October 27, 1999; PDF

Structure of closed finitely starshaped sets: Mabel A. Rodriguez and Fausto A. Toranzos; Proc. Amer. Math. Soc. 128 (2000), 1433-1441; DOI: https://doi.org/10.1090/S0002-9939-00-05620-3; Published electronically: February 7, 2000; PDF

On complete graphs with negative r-mean curvature: Maria Fernanda Elbert; Proc. Amer. Math. Soc. 128 (2000), 1443-1450; DOI: https://doi.org/10.1090/S0002-9939-00-05671-9; Published electronically: February 7, 2000; PDF

A wild minimal plane in $\mathbb {R}^3$: Plácido Andrade; Proc. Amer. Math. Soc. 128 (2000), 1451-1457; DOI: https://doi.org/10.1090/S0002-9939-99-05323-X; Published electronically: December 8, 1999; PDF

Curvature restrictions on convex, timelike surfaces in Minkowski 3-space: Senchun Lin; Proc. Amer. Math. Soc. 128 (2000), 1459-1466; DOI: https://doi.org/10.1090/S0002-9939-99-05533-1; Published electronically: December 8, 1999; PDF

On compact manifolds with positive isotropic curvature: M.-L. Labbi; Proc. Amer. Math. Soc. 128 (2000), 1467-1474; DOI: https://doi.org/10.1090/S0002-9939-99-05153-9; Published electronically: August 3, 1999; PDF

A modification of Louveau and Velickovic’s construction for $F_\sigma$-ideals: Krzysztof Mazur; Proc. Amer. Math. Soc. 128 (2000), 1475-1479; DOI: https://doi.org/10.1090/S0002-9939-00-05061-9; Published electronically: February 7, 2000; PDF

Tightness bounds for strongly mixing random sequences: Richard C. Bradley; Proc. Amer. Math. Soc. 128 (2000), 1481-1486; DOI: https://doi.org/10.1090/S0002-9939-99-05404-0; Published electronically: October 5, 1999; PDF

The surjectivity of the canonical homomorphism from singular homology to Cech homology: Katsuya Eda and Kazuhiro Kawamura; Proc. Amer. Math. Soc. 128 (2000), 1487-1495; DOI: https://doi.org/10.1090/S0002-9939-99-05670-1; Published electronically: December 8, 1999; PDF

Connected sums of manifolds which induce approximate fibrations: Yongkuk Kim; Proc. Amer. Math. Soc. 128 (2000), 1497-1506; DOI: https://doi.org/10.1090/S0002-9939-00-05385-5; Published electronically: February 3, 2000; PDF

Compactifying sufficiently regular covering spaces of compact 3-manifolds: Robert Myers; Proc. Amer. Math. Soc. 128 (2000), 1507-1513; DOI: https://doi.org/10.1090/S0002-9939-00-05109-1; Published electronically: February 7, 2000; PDF

$(Z_2)^k$-actions with fixed point set of constant codimension $2^k+1$: Wang Yanying, Wu Zhende and Ma Kai; Proc. Amer. Math. Soc. 128 (2000), 1515-1521; DOI: https://doi.org/10.1090/S0002-9939-99-05223-5; Published electronically: August 3, 1999; PDF

Mistake in Hirsch’s proof of the Brouwer Fixed Point Theorem: Kapil D. Joshi; Proc. Amer. Math. Soc. 128 (2000), 1523-1525; DOI: https://doi.org/10.1090/S0002-9939-99-05205-3; Published electronically: August 3, 1999; PDF

Parallelizability of complex projective Stiefel manifolds: L. Astey, S. Gitler, E. Micha and G. Pastor; Proc. Amer. Math. Soc. 128 (2000), 1527-1530; DOI: https://doi.org/10.1090/S0002-9939-99-05372-1; Published electronically: August 17, 1999; PDF

A $\text \{K\}$-energy characterization of extremal Kähler metrics: Santiago R. Simanca; Proc. Amer. Math. Soc. 128 (2000), 1531-1535; DOI: https://doi.org/10.1090/S0002-9939-99-05364-2; Published electronically: August 5, 1999; PDF

A generalization of Kelley’s theorem for $C$-spaces: Michael Levin and James T. Rogers Jr.; Proc. Amer. Math. Soc. 128 (2000), 1537-1541; DOI: https://doi.org/10.1090/S0002-9939-99-05158-8; Published electronically: October 5, 1999; PDF

Basic forms for transversely integrable singular Riemannian foliations: Robert A. Wolak; Proc. Amer. Math. Soc. 128 (2000), 1543-1545; DOI: https://doi.org/10.1090/S0002-9939-99-05316-2; Published electronically: October 6, 1999; PDF

Strict regular completions of Cauchy spaces: Paul Brock and Gary Richardson; Proc. Amer. Math. Soc. 128 (2000), 1547-1554; DOI: https://doi.org/10.1090/S0002-9939-99-05132-1; Published electronically: October 5, 1999; PDF

The number of knot group representations is not a Vassiliev invariant: Michael Eisermann; Proc. Amer. Math. Soc. 128 (2000), 1555-1561; DOI: https://doi.org/10.1090/S0002-9939-99-05287-9; Published electronically: October 5, 1999; PDF

On covering translations and homeotopy groups of contractible open n-manifolds: Robert Myers; Proc. Amer. Math. Soc. 128 (2000), 1563-1566; DOI: https://doi.org/10.1090/S0002-9939-99-05163-1; Published electronically: October 6, 1999; PDF

Stability of $n$-vortices in the Ginzburg-Landau equation: James Coleman; Proc. Amer. Math. Soc. 128 (2000), 1567-1569; DOI: https://doi.org/10.1090/S0002-9939-00-05695-1; Published electronically: February 7, 2000; PDF