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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) Open Access
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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 Open Access
KEYWORDS: Normed algebras, $A$-convex algebras, 46H05, 46J05
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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 Open Access
KEYWORDS: Norm form equations, arithmetic progressions, 11D57, 11D45, 11B25
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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 Open Access
KEYWORDS: Linear systems, fat points, 14C20, 14N05, 14H20, 41A05
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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 Open Access
KEYWORDS: Voronovskaja formulas, Bernstein-Durrmeyer operators, Jackson operators, perturbation of second-order differential operators, Best approximation, 41A36, 34A45, 47E05
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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 Open Access
KEYWORDS: Proper solution, oscillatory solution, non-oscillatory solution, oscillation criteria, non-oscillation criteria, 34C10
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Graph Douglas Algebras
Benton L. Duncan
Rocky Mountain J. Math. 40 (2), 471-487, (2010) DOI: 10.1216/RMJ-2010-40-2-471 Open Access
KEYWORDS: Free semi-groupoid algebra, Douglas algebras, 47L75, 47L40
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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 Open Access
KEYWORDS: $L_p$-intersection body, $L_p$-centroid body, $L_p$-projection body, $L_p$-Petty projection inequality, Busemann intersection inequality, 52A20, 52A40
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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 Open Access
KEYWORDS: Numerically positive, of general type, 14E30, 14J10
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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 Open Access
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
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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 Open Access
KEYWORDS: ab-index, cd-index, Eulerian posets, poset of intervals, Et -construction, Tchebyshev posets, 06A07, 05E99
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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 Open Access
KEYWORDS: ‎bounded linear operator, topology of pointwise convergence, topology of compact convergence, topology of weakly compact convergence, 47A05, 46B28
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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 Open Access
KEYWORDS: First passage time, fluctuating additive functional, Law of the iterated logarithm, small ball probabilities, 60F99, 60G17, 60G18, 60J55, 60J65
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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 Open Access
KEYWORDS: limit cycle, third-order differential equation, perturbation of centers, averaging theory, 37G15, 37D45
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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 Open Access
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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 Open Access
KEYWORDS: $C*$-algebra, approximation properties, Hilbert bimodule, crossed product, Pimsner algebra, completely positive lift, 46L05, 46B28
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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 Open Access
KEYWORDS: Banach space, continuous linear operator, invariant subspace, 47A15
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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 Open Access
KEYWORDS: Sturm-Liouville boundary value problem, impulsive effects, critical point, $p$-Laplacian, 34B15, 34B18, 34B37, 58E30
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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 Open Access
KEYWORDS: Positive principal eigenvalue, blowing-up behavior, indefinite weight, Robin-type boundary condition, Population dynamics, 35P15, 35J20, 92D25
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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 Open Access
KEYWORDS: Three body problem, rigid body, equilibria, Eulerian, stability
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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 Open Access
KEYWORDS: Normalized Laplacian eigenvalues, general Randić index, 05C50, 92E10
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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 Open Access
KEYWORDS: Thue equations, Thomas' conjecture, function fields, 11D59, 11D25, 11Y50
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