Volume 41 Issue 6 | Rocky Mountain Journal of Mathematics

Rocky Mountain Journal of Mathematics

VOL. 41 · NO. 6 | 2011

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Front Matter

Table of Contents, Rocky Mountain Journal of Mathematics, vol. 41, no. 6, (2011)

Rocky Mountain J. Math. 41 (6), (2011)

No abstract available

Articles

Crossed product $C^*$-algebras by finite group actions with the tracial Rokhlin property

Dawn Archey

Rocky Mountain J. Math. 41 (6), 1755-1768, (2011) DOI: 10.1216/RMJ-2011-41-6-1755

KEYWORDS: 46L55, 16S35, 46L35, 46L40

No abstract available

Measures of noncompactness and asymptotic stability of solutions of a quadratic Hammerstein integral equation

Józef Banaś, Donal O'Regan, Ravi P. Agarwal

Rocky Mountain J. Math. 41 (6), 1769-1792, (2011) DOI: 10.1216/RMJ-2011-41-6-1769

KEYWORDS: Quadratic integral equation, Banach space, measure of noncompactness, fixed point theorem of Darbo type, asymptotic stability

No abstract available

Zassenhaus algebras

Joshua Buckner, Manfred Dugas

Rocky Mountain J. Math. 41 (6), 1793-1813, (2011) DOI: 10.1216/RMJ-2011-41-6-1793

KEYWORDS: Finite dimensional algebras, Zassenhaus algebras, Leavitt path algebras, 16P10, 16S50

No abstract available

On representations and differences of Stieltjes coefficients, and other relations

Mark W. Coffey

Rocky Mountain J. Math. 41 (6), 1815-1846, (2011) DOI: 10.1216/RMJ-2011-41-6-1815

KEYWORDS: Stieltjes constants, Dirichlet L -series, Hurwitz zeta function, Riemann zeta function, Laurent expansion, functional equation, Gamma function, digamma function, polygamma function, logarithmic series, harmonic numbers, 11M35, 11M06, 11Y60

No abstract available

There are only finitely many $D(4)$-quintuples

Alan Filipin

Rocky Mountain J. Math. 41 (6), 1847-1859, (2011) DOI: 10.1216/RMJ-2011-41-6-1847

No abstract available

Existence of solutions of second-order partial neutral functional differential equations with infinite delay

Hernán R. Henríquez, Eduardo Hernández M

Rocky Mountain J. Math. 41 (6), 1861-1882, (2011) DOI: 10.1216/RMJ-2011-41-6-1861

KEYWORDS: Abstract neutral functional differential equations, cosine functions of operators, 34K40, 34K30, 47D09

No abstract available

Pointwise convergence of quasicontinuous mappings and Baire spaces

Ľubica Holá, Dušan Holý

Rocky Mountain J. Math. 41 (6), 1883-1894, (2011) DOI: 10.1216/RMJ-2011-41-6-1883

KEYWORDS: Quasicontinuous mapping, equi-quasicontinuous sequence, Baire space, pointwise convergence, ‎54C30, 54E52

No abstract available

Analysis of one pile misére Nim for two alliances

Annela R. Kelly

Rocky Mountain J. Math. 41 (6), 1895-1906, (2011) DOI: 10.1216/RMJ-2011-41-6-1895

No abstract available

Positive solutions of even order periodic boundary value problems

Qingkai Kong, Min Wang

Rocky Mountain J. Math. 41 (6), 1907-1931, (2011) DOI: 10.1216/RMJ-2011-41-6-1907

KEYWORDS: Even order periodic BVP, existence and nonexistence, multiple positive solution, Green's function, Krasnosel'skii fixed point theorem, fixed point index theory, 34B15, 34B18

No abstract available

Mazurkiewicz manifolds and homogeneity

P. Krupski, V. Valov

Rocky Mountain J. Math. 41 (6), 1933-1938, (2011) DOI: 10.1216/RMJ-2011-41-6-1933

KEYWORDS: Cantor manifold, Mazurkiewicz manifold, cohomological dimension, C -space, strongly infinite-dimensional, covering dimension, homogeneous space, 54F45, 55M10

No abstract available

On the numbers of faces of low-dimensional regular triangulations and shellable balls

Carl W. Lee, Laura Schmidt

Rocky Mountain J. Math. 41 (6), 1939-1961, (2011) DOI: 10.1216/RMJ-2011-41-6-1939

No abstract available

On annihilator ideals in matrix near-rings

Anthony M. Matlala

Rocky Mountain J. Math. 41 (6), 1963-1976, (2011) DOI: 10.1216/RMJ-2011-41-6-1963

KEYWORDS: Near-ring, zero symmetric, Ideals, matrix near-ring, R groups, R -subgroups, Monogenic, Jacobson ν -radical, R -kernel, socle ideal, 16Y30

No abstract available

Bounds using the index of Nagami

María Muñoz

Rocky Mountain J. Math. 41 (6), 1977-1986, (2011) DOI: 10.1216/RMJ-2011-41-6-1977

KEYWORDS: Usco, topology of pointwise convergence, network weight, Density, spread, Lindelöf number, index of Nagami, 54A25, ‎54C60‎

No abstract available

On generalized commutativity degree of a finite group

R.K. Nath, A.K. Das

Rocky Mountain J. Math. 41 (6), 1987-2000, (2011) DOI: 10.1216/RMJ-2011-41-6-1987

KEYWORDS: finite groups, group characters, commutativity degree, 20C15, 20D60, 20P05

No abstract available

Permanence in general non-autonomous single-species Kolmo- gorov systems with pure delays and feedback control

Linfei Nie, Lin Hu, Zhidong Teng

Rocky Mountain J. Math. 41 (6), 2001-2020, (2011) DOI: 10.1216/RMJ-2011-41-6-2001

KEYWORDS: single-species, non-autonomous, Kolmogorov, pure delays, feedback control, Ultimate boundedness, permanence, positive periodic solution

No abstract available

Sharp global bounds for Jensen's inequality

Slavko Simic

Rocky Mountain J. Math. 41 (6), 2021-2031, (2011) DOI: 10.1216/RMJ-2011-41-6-2021

KEYWORDS: ‎Jensen's discrete inequality, global bounds, Lagrange means, generalized $A-G-H$ inequality, 26B25, 26D20

No abstract available

Arithmetic progressions on congruent number elliptic curves

Blair K. Spearman

Rocky Mountain J. Math. 41 (6), 2033-2044, (2011) DOI: 10.1216/RMJ-2011-41-6-2033

KEYWORDS: arithmetic progression, congruent number, Elliptic curve, ‎rank‎, 11G05

No abstract available

Almost Warfield groups

William Ullery

Rocky Mountain J. Math. 41 (6), 2045-2055, (2011) DOI: 10.1216/RMJ-2011-41-6-2045

KEYWORDS: Weak Axiom 3, almost Warfield group, 20K21

No abstract available

A characterization of monotonely homogeneous dendrites

Evan P. Wright

Rocky Mountain J. Math. 41 (6), 2057-2067, (2011) DOI: 10.1216/RMJ-2011-41-6-2057

KEYWORDS: continuum, dendrite, monotone, Cantor-Bendixson, 54F50, 54C10, 54F65

No abstract available

On biholomorphic mappings in complex Banach spaces

Qing-Hua Xu, Tai-Shun Liu

Rocky Mountain J. Math. 41 (6), 2069-2086, (2011) DOI: 10.1216/RMJ-2011-41-6-2069

KEYWORDS: Coefficient estimation, starlike mapping, starlike mapping of order $\alpha$, almost starlike mapping of order xrga, strongly starlike mapping of order $\alpha$, strongly starlike mapping

No abstract available

Cyclic vectors in the weighted $VMOA$ space

Shanli Ye, Zengjian Lou

Rocky Mountain J. Math. 41 (6), 2087-2096, (2011) DOI: 10.1216/RMJ-2011-41-6-2087

KEYWORDS: cyclic vectors, outer functions, BMOA log, VMOA log, 30H35, 30J99, 47A16

No abstract available

An equivalent condition for the full Hausdorff measure of a subset of the set of finite type

Jiandong Yin, Zuoling Zhou

Rocky Mountain J. Math. 41 (6), 2097-2105, (2011) DOI: 10.1216/RMJ-2011-41-6-2097

KEYWORDS: The set of finite type, Hausdorff dimension, Hausdorff measure, Property M, 28A78, 28A80

No abstract available

Index

Rocky Mountain J. Math. 41 (6), 2107-2112, (2011) DOI: 10.1216/RMJ-2011-41-6-2107

No abstract available

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