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Relevant bibliographies by topics / Riesz decomposition property

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Academic literature on the topic 'Riesz decomposition property'

Author: Grafiati

Published: 4 June 2021

Last updated: 8 February 2022

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Journal articles on the topic "Riesz decomposition property"

1

Dvurečenskij, Anatolij, and Yongjian Xie. "Atomic Effect Algebras with the Riesz Decomposition Property." Foundations of Physics 42, no. 8 (2012): 1078–93. http://dx.doi.org/10.1007/s10701-012-9655-7.

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2

Goodearl, K. R. "C* -Algebras of Real Rank Zero Whose K0's are not Riesz Groups." Canadian Mathematical Bulletin 39, no. 4 (1996): 429–37. http://dx.doi.org/10.4153/cmb-1996-051-2.

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AbstractExamples are constructed of stably finite, imitai, separable C* -algebras A of real rank zero such that the partially ordered abelian groups K0(A) do not satisfy the Riesz decomposition property. This contrasts with the result of Zhang that projections in C* -algebras of real rank zero satisfy Riesz decomposition. The construction method also produces a stably finite, unital, separable C* -algebra of real rank zero which has the same K-theory as an approximately finite dimensional C*-algebra, but is not itself approximately finite dimensional.

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3

Katsikis, Vasilios, and Ioannis A. Polyrakis. "Positive bases in ordered subspaces with the Riesz decomposition property." Studia Mathematica 174, no. 3 (2006): 233–53. http://dx.doi.org/10.4064/sm174-3-2.

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4

Dăneţ, Nicolae. "The Riesz decomposition property for the space of regular operators." Proceedings of the American Mathematical Society 129, no. 2 (2000): 539–42. http://dx.doi.org/10.1090/s0002-9939-00-05592-1.

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5

Jenča, Gejza, and Sylvia Pulmannová. "Quotients of partial abelian monoids and the Riesz decomposition property." Algebra Universalis 47, no. 4 (2002): 443–77. http://dx.doi.org/10.1007/s00012-002-8199-7.

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6

Khare. "A Gould Type Integral on $D$-Posets with Riesz Decomposition Property." Journal of Advanced Research in Pure Mathematics 4, no. 4 (2012): 115–30. http://dx.doi.org/10.5373/jarpm.1139.100911.

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7

Bartoszek, Wojciech. "Riesz decomposition property implies asymptotic periodicity of positive and constrictive operators." Proceedings of the American Mathematical Society 116, no. 1 (1992): 101. http://dx.doi.org/10.1090/s0002-9939-1992-1123648-3.

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8

Schmidt, Klaus D. "Decompositions of vector measures in Riesz spaces and Banach lattices." Proceedings of the Edinburgh Mathematical Society 29, no. 1 (1986): 23–39. http://dx.doi.org/10.1017/s0013091500017375.

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The present paper is mainly concerned with decomposition theorems of the Jordan, Yosida-Hewitt, and Lebesgue type for vector measures of bounded variation in a Banach lattice having property (P). The central result is the Jordan decomposition theorem due to which these vector measures may alternately be regarded as order bounded vector measures in an order complete Riesz space or as vector measures of bounded variation in a Banach space. For both classes of vector measures, properties like countable additivity, purely finite additivity, absolute continuity, and singularity can be defined in a

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9

Dvurečenskij, Anatolij, and Omid Zahiri. "When the lexicographic product of two po-groups has the Riesz decomposition property." Algebra universalis 78, no. 1 (2017): 67–91. http://dx.doi.org/10.1007/s00012-017-0447-y.

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10

Jenča, Gejza. "Blocks of homogeneous effect algebras." Bulletin of the Australian Mathematical Society 64, no. 1 (2001): 81–98. http://dx.doi.org/10.1017/s0004972700019705.

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Effect algebras, introduced by Foulis and Bennett in 1994, are partial algebras which generalise some well known classes of algebraic structures (for example orthomodular lattices, MV algebras, orthoalgebras et cetera). In the present paper, we introduce a new class of effect algebras, calledhomogeneous effect algebras. This class includes orthoalgebras, lattice ordered effect algebras and effect algebras satisfying the Riesz decomposition property. We prove that every homogeneous effect algebra is a union of its blocks, which we define as maximal sub-effect algebras satisfying the Riesz decom

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Dissertations / Theses on the topic "Riesz decomposition property"

1

Kalauch, Anke. "Positive-off-diagonal Operators on Ordered Normed Spaces and Maximum Principles for M-Operators." Doctoral thesis, Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2007. http://nbn-resolving.de/urn:nbn:de:swb:14-1169822895129-71711.

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M-matrices are extensively employed in numerical analysis. These matrices can be generalized by corresponding operators on a partially ordered normed space. We extend results which are well-known for M-matrices to this more general setting. We investigate two different notions of an M-operator, where we focus on two questions: 1. For which types of partially ordered normed spaces do the both notions coincide? This leads to the study of positive-off-diagonal operators. 2. Which conditions on an M-operator ensure that its (positive) inverse satisfies certain maximum principles? We deal with gene

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2

Kalauch, Anke. "Positive-off-diagonal Operators on Ordered Normed Spaces and Maximum Principles for M-Operators." Doctoral thesis, Technische Universität Dresden, 2006. https://tud.qucosa.de/id/qucosa%3A25013.

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Abstract:

M-matrices are extensively employed in numerical analysis. These matrices can be generalized by corresponding operators on a partially ordered normed space. We extend results which are well-known for M-matrices to this more general setting. We investigate two different notions of an M-operator, where we focus on two questions: 1. For which types of partially ordered normed spaces do the both notions coincide? This leads to the study of positive-off-diagonal operators. 2. Which conditions on an M-operator ensure that its (positive) inverse satisfies certain maximum principles? We deal with gene

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