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Relevant bibliographies by topics / Cartesian product.Mathematics Subject Classification[2000]

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Academic literature on the topic 'Cartesian product.Mathematics Subject Classification[2000]'

Author: Grafiati

Published: 3 June 2025

Last updated: 23 June 2025

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Journal articles on the topic "Cartesian product.Mathematics Subject Classification[2000]"

1

Lončar, Ivan. "Hereditarily Irreducible Mappings of Cartesian Product of Continua." Sarajevo Journal of Mathematics 7, no. 1 (2024): 115–21. http://dx.doi.org/10.5644/sjm.07.1.11.

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In Section 2 we shall prove that if Cartesian product $X\times Y$ of nondegenerate continua admits a hereditarily irreducible mapping $f:X\times Y\rightarrow Z,$ then w$(X\times Y)$=w$(Z)$. The main section of the paper, Section 3, contains theorems concerning the Whitney maps on continua. In particular, it is proved that the product $\Pi \{X_{s}:s\in S\}$ of nondegenerate continua admits a Whitney map for $C(\Pi \{X_{s}:s\in S\})$ if and only if it is metrizable. 2000 Mathematics Subject Classification. Primary 54B20, 54F15

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2

Şahin, Bayram. "Warped Product Lightlike Submanifolds." Sarajevo Journal of Mathematics 1, no. 2 (2024): 251–60. http://dx.doi.org/10.5644/sjm.01.2.10.

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e study a new class of lightlike submanifolds $M$, called warped product lightlike submanifolds, of a semi-Riemann manifold. We show that the null geometry of $M$ reduces to the corresponding non-degenerate geometry of its semi-Riemann submanifold. 2000 Mathematics Subject Classification. 53C15, 53C40, 53C50

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3

Farsi, Carla. "SOFT C*-ALGEBRAS." Proceedings of the Edinburgh Mathematical Society 45, no. 1 (2002): 59–65. http://dx.doi.org/10.1017/s0013091500000547.

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AbstractIn this paper we consider soft group and crossed product $C^*$-algebras. In particular we show that soft crossed product $C^*$-algebras are isomorphic to classical crossed product $C^*$-algebras. We also prove that large classes of soft $C^*$-algebras have stable rank equal to infinity.AMS 2000 Mathematics subject classification: Primary 46L80; 46L55

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4

Dragomir, S. S. "Power Inequalities for the Numerical Radius of a Product of Two Operators in Hilbert Spaces." Sarajevo Journal of Mathematics 5, no. 2 (2024): 269–78. http://dx.doi.org/10.5644/sjm.05.2.10.

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Some power inequalities for the numerical radius of a product of two operators in Hilbert spaces with applications for commutators and self-commutators are given. 2000 Mathematics Subject Classification. 47A12, 47A30, 47A63, 47B15

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5

du Sautoy, Marcus. "ZETA FUNCTIONS OF GROUPS: EULER PRODUCTS AND SOLUBLE GROUPS." Proceedings of the Edinburgh Mathematical Society 45, no. 1 (2002): 149–54. http://dx.doi.org/10.1017/s0013091500000456.

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AbstractThe well-behaved Sylow theory for soluble groups is exploited to prove an Euler product for zeta functions counting certain subgroups in pro-soluble groups. This generalizes a result of Grunewald, Segal and Smith for nilpotent groups.AMS 2000 Mathematics subject classification: Primary 20F16; 11M99

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6

Diviccaro, Maria Luigia. "Fixed Point Properties of Decomposable Isotone Operators in Posets." Sarajevo Journal of Mathematics 1, no. 1 (2024): 3–7. http://dx.doi.org/10.5644/sjm.01.1.01.

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A known theorem of R. M. Dacić, involving increasing operators decomposable into a finite product of monotone mappings, is extended from a complete lattice to a poset by using our previous results. 2000 Mathematics Subject Classification. 47H10

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7

Kumar, Ajay. "INVOLUTION AND THE HAAGERUP TENSOR PRODUCT." Proceedings of the Edinburgh Mathematical Society 44, no. 2 (2001): 317–22. http://dx.doi.org/10.1017/s0013091599000772.

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AbstractWe show that the involution $\theta(a\otimes b)=a^*\otimes b^*$ on the Haagerup tensor product $A\otimes_{\mrm{H}}B$ of $C^*$-algebras $A$ and $B$ is an isometry if and only if $A$ and $B$ are commutative. The involutive Banach algebra $A\otimes_{\mrm{H}}A$ arising from the involution $a\otimes b\to b^*\otimes a^*$ is also studied.AMS 2000 Mathematics subject classification: Primary 46L05; 46M05

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8

Shwartz, Robert. "ON THE FREIHEITSSATZ IN CERTAIN ONE-RELATOR FREE PRODUCTS. III." Proceedings of the Edinburgh Mathematical Society 45, no. 3 (2002): 693–700. http://dx.doi.org/10.1017/s0013091599001224.

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AbstractWe study one-relator free products in which the relator has free-product length $4$. We find conditions for such presentations to have a Freiheitssatz and classify all non-aspherical presentations under certain conditions.AMS 2000 Mathematics subject classification: Primary 20F05; 20F06; 20F10

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9

Fisher, Brian, E. Öz¸ça, and Ü. Gülen. "A Theorem on the Commutative Neutrix Product of Distributions." Sarajevo Journal of Mathematics 1, no. 2 (2024): 235–42. http://dx.doi.org/10.5644/sjm.01.2.08.

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The commutative neutrix products $f_+(x) \cdot \delta ^{(r)}(x)$ and $f_-(x)$ $\cdot \delta ^{(r)}(x) $ are evaluated for $r=0,1,2,\ldots,$ where $f$ is a function which is infinitely differentiable on an open interval containing the origin and $f_+(x) =H(x)f(x)$ and $f_-(x) =H(-x)f(x),$ $H$ denoting Heaviside's function. 2000 Mathematics Subject Classification. 46F10

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10

Faĭziev, Valeriy A., and Prasanna K. Sahoo. "Remark on the Second Bounded Cohomology of Amalgamated Product of Groups." Sarajevo Journal of Mathematics 1, no. 1 (2024): 27–48. http://dx.doi.org/10.5644/sjm.01.1.05.

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For any cardinal number ${\mathcal M}$ we construct examples of amalgamated products and HNN extensions of groups such that the dimension of the space of second bounded cohomologies is at least ${\mathcal M}$. Also we describe the space of pseudocharacters of the group $GL(2,F_2[z]).$ 2000 Mathematics Subject Classification. Primary: 20M15, 20M30, 39B82

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