When a lattice homomorphism is a Riesz homomorphism

Date

2006-01-01

Author

Ercan, Z.
Wickstead, A. W.

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Let E and F be uniformly complete vector lattices with disjoint complete systems (u(i))(i is an element of I) and (v(i))(i is an element of 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(lambda u(i)) = lambda v(i) for each lambda is an element of R and i is an element of I then T is linear. This generalizes the main results of [4] and [5]. (C) 2006 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.

Subject Keywords

General Mathematics

URI

https://hdl.handle.net/11511/64740

Journal

MATHEMATISCHE NACHRICHTEN

DOI

https://doi.org/10.1002/mana.200410408

Collections

Department of Mathematics, Article

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Citation Formats

Z. Ercan and A. W. Wickstead, “When a lattice homomorphism is a Riesz homomorphism,” MATHEMATISCHE NACHRICHTEN, pp. 1024–1027, 2006, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/64740.