article · Mathematische Nachrichten · 2006

When a lattice homomorphism is a Riesz homomorphism

Cited by 5Abstract and details only

Abstract

Abstract Let E and F be uniformly complete vector lattices with disjoint complete systems ( u i ) i ∈ I and ( v i ) i ∈ I of projection elements of E and F respectively. In this paper we prove that if T is a lattice homomorphism from E into F with T ( λu i ) = λv i for each λ ∈ ℝ and i ∈ I then T is linear. This generalizes the main results of [4] and [5]. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

Cite this paper

APA 7

Ercan, Z., & Wickstead, A. W. (2006). When a lattice homomorphism is a Riesz homomorphism. Mathematische Nachrichten, 279(9-10), 1024–1027. https://doi.org/10.1002/mana.200410408

MLA 9

Ercan, Zafer, and A. W. Wickstead. “When a lattice homomorphism is a Riesz homomorphism.” Mathematische Nachrichten, vol. 279, no. 9-10, 2006, pp. 1024–27, https://doi.org/10.1002/mana.200410408.

Chicago

Ercan, Zafer, and A. W. Wickstead. 2006. “When a lattice homomorphism is a Riesz homomorphism.” Mathematische Nachrichten 279 (9-10): 1024–27. https://doi.org/10.1002/mana.200410408.

Harvard

Ercan, Z. and Wickstead, A.W. (2006) ‘When a lattice homomorphism is a Riesz homomorphism’, Mathematische Nachrichten, 279(9-10), pp. 1024–1027. Available at: https://doi.org/10.1002/mana.200410408.

BibTeX

@article{ercan2006when,
  title = {{When a lattice homomorphism is a Riesz homomorphism}},
  author = {Ercan, Zafer and Wickstead, A. W.},
  journal = {Mathematische Nachrichten},
  volume = {279},
  number = {9-10},
  pages = {1024--1027},
  year = {2006},
  doi = {10.1002/mana.200410408}
}

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