Volume 40 Issue 2 | Rocky Mountain Journal of Mathematics

Rocky Mountain Journal of Mathematics

VOL. 40 · NO. 2 | 2010

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Front Matter

Table of Contents, Rocky Mountain Journal of Mathematics, vol. 40, no. 2, (2010)

Rocky Mountain J. Math. 40 (2), (2010)

No abstract available

Articles

On $A$-Convex Norms on Commutative Algebras

Jorma Arhippainen, Jukka Kauppi

Rocky Mountain J. Math. 40 (2), 367-382, (2010) DOI: 10.1216/RMJ-2010-40-2-367

KEYWORDS: Normed algebras, $A$-convex algebras, 46H05, 46J05

No abstract available

Arithmetic Progressions in the Solution Sets of Norm Form Equations

Attila Bérczes, Lajos Hajdu, Attila Pethő

Rocky Mountain J. Math. 40 (2), 383-395, (2010) DOI: 10.1216/RMJ-2010-40-2-383

KEYWORDS: Norm form equations, arithmetic progressions, 11D57, 11D45, 11B25

No abstract available

Special Effect Varieties and $(-1)$-Curves

Cristiano Bocci

Rocky Mountain J. Math. 40 (2), 397-419, (2010) DOI: 10.1216/RMJ-2010-40-2-397

KEYWORDS: Linear systems, fat points, 14C20, 14N05, 14H20, 41A05

No abstract available

Direct Sums of Voronovskaja's Type Formulas

Michele Campiti, Cristian Tacelli

Rocky Mountain J. Math. 40 (2), 421-443, (2010) DOI: 10.1216/RMJ-2010-40-2-421

KEYWORDS: Voronovskaja formulas, Bernstein-Durrmeyer operators, Jackson operators, perturbation of second-order differential operators, Best approximation, 41A36, 34A45, 47E05

No abstract available

Oscillatory Properties of Second Order Nonlinear Differential Equations

Z. Došlá, N. Partsvania

Rocky Mountain J. Math. 40 (2), 445-470, (2010) DOI: 10.1216/RMJ-2010-40-2-445

KEYWORDS: Proper solution, oscillatory solution, non-oscillatory solution, oscillation criteria, non-oscillation criteria, 34C10

No abstract available

Graph Douglas Algebras

Benton L. Duncan

Rocky Mountain J. Math. 40 (2), 471-487, (2010) DOI: 10.1216/RMJ-2010-40-2-471

KEYWORDS: Free semi-groupoid algebra, Douglas algebras, 47L75, 47L40

No abstract available

Affine Isoperimetric Inequalities for $L_p$-Intersection Bodies

Lu Fenghong, Mao Weihong

Rocky Mountain J. Math. 40 (2), 489-500, (2010) DOI: 10.1216/RMJ-2010-40-2-489

KEYWORDS: $L_p$-intersection body, $L_p$-centroid body, $L_p$-projection body, $L_p$-Petty projection inequality, Busemann intersection inequality, 52A20, 52A40

No abstract available

A Note on the Projective Varieties of Almost General Type

Shigetaka Fukuda

Rocky Mountain J. Math. 40 (2), 501-512, (2010) DOI: 10.1216/RMJ-2010-40-2-501

KEYWORDS: Numerically positive, of general type, 14E30, 14J10

No abstract available

Characterizations of Classes of $I_0$ Sets in Discrete Abelian Groups

Colin C. Graham, Kathryn E. Hare

Rocky Mountain J. Math. 40 (2), 513-525, (2010) DOI: 10.1216/RMJ-2010-40-2-513

KEYWORDS: Associated sets, Bohr group, $\epsilon$-Kronecker sets, FatouZygmund property, $\epsilon$-free setsr, Hadamard sets, $I_0$ sets, Sidon sets, 42A55, 42A63, 43A25, 43A46, 43A05, 43A25

No abstract available

The ${\bf cd}$-index of the Poset of Intervals and $E_{t}$-Construction

Duško Jojić

Rocky Mountain J. Math. 40 (2), 527-541, (2010) DOI: 10.1216/RMJ-2010-40-2-527

KEYWORDS: ab-index, cd-index, Eulerian posets, poset of intervals, Et -construction, Tchebyshev posets, 06A07, 05E99

No abstract available

The Topology of Pointwise, Compact and Weakly Compact Convergence on $\B(X, Y)$

Ju Myung Kim

Rocky Mountain J. Math. 40 (2), 543-559, (2010) DOI: 10.1216/RMJ-2010-40-2-543

KEYWORDS: ‎bounded linear operator, topology of pointwise convergence, topology of compact convergence, topology of weakly compact convergence, 47A05, 46B28

No abstract available

Chung's Law for Homogeneous Brownian Functionals

Aimé Lachal, Thomas Simon

Rocky Mountain J. Math. 40 (2), 561-579, (2010) DOI: 10.1216/RMJ-2010-40-2-561

KEYWORDS: First passage time, fluctuating additive functional, Law of the iterated logarithm, small ball probabilities, 60F99, 60G17, 60G18, 60J55, 60J65

No abstract available

Limit Cycles for a Class of Third-Order Differential Equations

Jaume Llibre, Jiang Yu, Xiang Zhang

Rocky Mountain J. Math. 40 (2), 581-594, (2010) DOI: 10.1216/RMJ-2010-40-2-581

KEYWORDS: limit cycle, third-order differential equation, perturbation of centers, averaging theory, 37G15, 37D45

No abstract available

On the Kantorovich Theorem and the Regularization of Total Variation Denoising Problems

L.A. Melara, A.J. Kearsley

Rocky Mountain J. Math. 40 (2), 595-607, (2010) DOI: 10.1216/RMJ-2010-40-2-595

No abstract available

On Approximation Properties of Pimsner Algebras and Crossed Products By Hilbert Bimodules

Adam Skalski, Joachim Zacharias

Rocky Mountain J. Math. 40 (2), 609-625, (2010) DOI: 10.1216/RMJ-2010-40-2-609

KEYWORDS: $C*$-algebra, approximation properties, Hilbert bimodule, crossed product, Pimsner algebra, completely positive lift, 46L05, 46B28

No abstract available

An Explicit Example Concerning the Invariant Subspace Problem for Banach Spaces

Wiesł aw Śliwa

Rocky Mountain J. Math. 40 (2), 627-641, (2010) DOI: 10.1216/RMJ-2010-40-2-627

KEYWORDS: Banach space, continuous linear operator, invariant subspace, 47A15

No abstract available

Multiple Positive Solutions of Second-Order Sturm-Liouville Boundary Value Problems for Impulsive Differential Equations

Yu Tian, Weigao Ge

Rocky Mountain J. Math. 40 (2), 643-672, (2010) DOI: 10.1216/RMJ-2010-40-2-643

KEYWORDS: Sturm-Liouville boundary value problem, impulsive effects, critical point, $p$-Laplacian, 34B15, 34B18, 34B37, 58E30

No abstract available

Blowing-Up Properties of the Positive Principal Eigenvalue for Indefinite Robin-Type Boundary Conditions

Kenichiro Umezu

Rocky Mountain J. Math. 40 (2), 673-694, (2010) DOI: 10.1216/RMJ-2010-40-2-673

KEYWORDS: Positive principal eigenvalue, blowing-up behavior, indefinite weight, Robin-type boundary condition, Population dynamics, 35P15, 35J20, 92D25

No abstract available

The Three Body Problem with a Rigid Body: Eulerian Equilibria and Stability

J.A. Vera

Rocky Mountain J. Math. 40 (2), 695-712, (2010) DOI: 10.1216/RMJ-2010-40-2-695

KEYWORDS: Three body problem, rigid body, equilibria, Eulerian, stability

No abstract available

Randić Index and Eigenvalues of Graphs

Guihai Yu, Lihua Feng

Rocky Mountain J. Math. 40 (2), 713-721, (2010) DOI: 10.1216/RMJ-2010-40-2-713

KEYWORDS: Normalized Laplacian eigenvalues, general Randić index, 05C50, 92E10

No abstract available

On Thue Equations of Splitting Type over Function Fields

Volker Ziegler

Rocky Mountain J. Math. 40 (2), 723-747, (2010) DOI: 10.1216/RMJ-2010-40-2-723

KEYWORDS: Thue equations, Thomas' conjecture, function fields, 11D59, 11D25, 11Y50

No abstract available

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