Volume 42 Issue 1 | Rocky Mountain Journal of Mathematics

Rocky Mountain Journal of Mathematics

VOL. 42 · NO. 1 | 2012

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Front Matter

Table of Contents, Rocky Mountain Journal of Mathematics, vol. 42, no. 1, (2012)

Rocky Mountain J. Math. 42 (1), (2012) Open Access

No abstract available

Articles

The clique number of $\Gamma(\z_{p^{n}}(\alpha))$

Omar A. Abughneim, Emad E. Abdaljawad, Hasan Al-Ezeh

Rocky Mountain J. Math. 42 (1), 1-13, (2012) DOI: 10.1216/RMJ-2012-42-1-1 Open Access

KEYWORDS: zero-divisor graph, Clique number, Integers modulo n, 05C69, 13A99

No abstract available

Hypercyclicity and supercyclicity of $m$-isometric operators

M. Faghih Ahmadi, K. Hedayatian

Rocky Mountain J. Math. 42 (1), 15-23, (2012) DOI: 10.1216/RMJ-2012-42-1-15 Open Access

KEYWORDS: Supercyclic operators, Hypercyclic operators, m -isometries, 47A16

No abstract available

Remarks on generalized trigonometric functions

P.J. Bushell, D.E. Edmunds

Rocky Mountain J. Math. 42 (1), 25-57, (2012) DOI: 10.1216/RMJ-2012-42-1-25 Open Access

No abstract available

Navarro vertices and normal subgroups in groups of odd order

James P. Cossey

Rocky Mountain J. Math. 42 (1), 59-69, (2012) DOI: 10.1216/RMJ-2012-42-1-59 Open Access

KEYWORDS: Brauer character, finite groups, representations, solvable groups, 20C20

No abstract available

Classical solutions of hyperbolic differential systems with state dependent delays

Wojciech Czernous

Rocky Mountain J. Math. 42 (1), 71-89, (2012) DOI: 10.1216/RMJ-2012-42-1-71 Open Access

KEYWORDS: Partial functional differential systems, classical solutions, local existence, bicharacteristics, 35R10, 35L45

No abstract available

Pell conics and quadratic reciprocity

S. Hambleton, V. Scharaschkin

Rocky Mountain J. Math. 42 (1), 91-96, (2012) DOI: 10.1216/RMJ-2012-42-1-91 Open Access

KEYWORDS: Quadratic reciprocity, Pell conics, 11A15, 11C08

No abstract available

Structure theory of tensor product locally $H^*$-algebras

Marina Haralampidou

Rocky Mountain J. Math. 42 (1), 97-116, (2012) DOI: 10.1216/RMJ-2012-42-1-97 Open Access

KEYWORDS: Locally $H^*$-algebra (locally $m$-convex $H^*$-algebra), $(bs)$-property, $H$-property, Ambrose algebra, family of axes, canonical orthogonal basis, $(Pbs)$-property, hereditary Ambrose algebra, 46H05, 46H10, 46H20, 46M05

No abstract available

Reflections and a generalization of the Mazur-Ulam theorem

Osamu Hatori, Kiyotaka Kobayashi, Takeshi Miura, Sin-Ei Takahasi

Rocky Mountain J. Math. 42 (1), 117-150, (2012) DOI: 10.1216/RMJ-2012-42-1-117 Open Access

KEYWORDS: The Mazur-Ulam theorem, isometries, metricoid spaces, metricoid groups, the Banach-Stone theorem, 46B04, 46J10

No abstract available

Some remarks on extremally rich $C^{*}$-algebras

Hyun Ho Lee

Rocky Mountain J. Math. 42 (1), 151-156, (2012) DOI: 10.1216/RMJ-2012-42-1-151 Open Access

KEYWORDS: Extemally rich $C^*$-algebras, $C^*$-algebras of real rank zero, purely infinite simple $C^*$-algebras, ‎‎‎extension property, 46L05

No abstract available

$C^*$-algebraic characterization of bounded orbit injection equivalence for minimal free Cantor systems

Frédéric Latrémolière, Nicholas Ormes

Rocky Mountain J. Math. 42 (1), 157-200, (2012) DOI: 10.1216/RMJ-2012-42-1-157 Open Access

KEYWORDS: Minimal Cantor systems, orbit injections, $C^*$-Algebras, Rieffel-Morita equivalence, 37D05, 37B50, 46L99, 16D90

No abstract available

On sums of squares of primes and a $k$th power of prime

Taiyu Li

Rocky Mountain J. Math. 42 (1), 201-222, (2012) DOI: 10.1216/RMJ-2012-42-1-201 Open Access

KEYWORDS: circle method, exponential sums over primes, WaringGoldbach problems, 11P32, 11P05, 11P55

No abstract available

Well-centered overrings of a commutative ring in pullbacks and trivial extensions

N. Mahdou, A. Mimouni

Rocky Mountain J. Math. 42 (1), 223-234, (2012) DOI: 10.1216/RMJ-2012-42-1-223 Open Access

KEYWORDS: Well-centered ring, trivial extension, Pullbacks, 13G055, 13A15, 13F05, 13G05, 13F30

No abstract available

Numerical ranges of composition operators with inner symbols

Valentin Matache

Rocky Mountain J. Math. 42 (1), 235-249, (2012) DOI: 10.1216/RMJ-2012-42-1-235 Open Access

KEYWORDS: Composition operator, numerical range, 47B33, 47B35

No abstract available

Inequalities involving multivariate convex functions III

Edward Neuman

Rocky Mountain J. Math. 42 (1), 251-256, (2012) DOI: 10.1216/RMJ-2012-42-1-251 Open Access

KEYWORDS: Multivariate convex functions, density function, Inequalities‎, optimization, 26D15, 26B25

No abstract available

Regularization of simultaneous binary collisions in some gravitational systems

Predrag Punos˘evac, Qiudong Wang

Rocky Mountain J. Math. 42 (1), 257-283, (2012) DOI: 10.1216/RMJ-2012-42-1-257 Open Access

No abstract available

Topological approach to unbounded operators on Hilbert $C^*$-modules

Kamran Sharifi

Rocky Mountain J. Math. 42 (1), 285-292, (2012) DOI: 10.1216/RMJ-2012-42-1-285 Open Access

KEYWORDS: Hilbert $C^*$-module, Unbounded operators, gap topology, 46L08, 46C05, 47L60, 47B50

No abstract available

On the marker method for constructing finitary isomorphisms

Stephen M. Shea

Rocky Mountain J. Math. 42 (1), 293-304, (2012) DOI: 10.1216/RMJ-2012-42-1-293 Open Access

KEYWORDS: Bernoulli scheme, finitary isomorphism, r-process, Markov, d-equivalence, 37A35

No abstract available

Best approximation formulas for the Dunkl $L^2$-multiplier operators onR ^d

Fethi Soltani

Rocky Mountain J. Math. 42 (1), 305-328, (2012) DOI: 10.1216/RMJ-2012-42-1-305 Open Access

KEYWORDS: Dunkl operators, $l^2$-multiplier operators, Caldeŕon's reproducing formulas, best approximation formulas, 42C15, 44A15

No abstract available

On generalizations and reinforcements of a Hilbert's type inequality

Gaowen Xi

Rocky Mountain J. Math. 42 (1), 329-337, (2012) DOI: 10.1216/RMJ-2012-42-1-329 Open Access

KEYWORDS: Hilbert's type inequality, weight coefficient, Hölder inequality, generalization, Reinforcement, 26D15

No abstract available

The tracial rank for crossed products by finite group actions

Xinbing Yang, Xiaochun Fang

Rocky Mountain J. Math. 42 (1), 339-352, (2012) DOI: 10.1216/RMJ-2012-42-1-339 Open Access

KEYWORDS: finite group action, crossed product, Rokhlin property, tracial rank, 46L05, 46L35, 46L55

No abstract available

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