Gutman A.E.
The Wickstead problem
6 publications, 1995–2008

Description of the vector lattices E for which all band-preserving operators T: E → E are regular

The conjecture is disproved on coincidence of locally one-dimensional and discrete K-spaces.
It is shown that a K-space is locally one-dimensional if and only if its base is σ-distributive.

1.	Gutman A.E. Locally one-dimensional K-spaces and σ-distributive Boolean algebras // Siberian Adv. Math. 1995. V. 5, N 1. P. 42–48. Bibliographic record Record in BibTeX format Article (PDF) Cover (PDF) Russian version (PDF) Information on ResearchGate Journal site
2.	Gutman A.E. Locally one-dimensional K-spaces and σ-distributive Boolean algebras [in Russian] // Report abstract. Siberian Conference on Applied and Industrial Mathematics (Novosibirsk, July 25–29, 1994): Proceedings. Novosibirsk: IM SB RAS, 1997. V. 1. P. 103–108. Bibliographic record Record in BibTeX format Report abstract (PDF) Scanned copy (PDF) Cover (PDF) Conference program (PDF) Participants list (PDF) Information on ResearchGate Program on the conference site (PDF) Participants list on the site (PDF)
3.	Gutman A.E. Locally one-dimensional K-spaces [in Russian] // Proc. Acad. Sci. 1997. V. 353, N 5. P. 590–591. Bibliographic record Record in BibTeX format Article (PDF) Prepublication version (PDF) Information on ResearchGate Journal site English version
	Gutman A.E. Locally one-dimensional complete vector lattices // Doklady Math. 1997. V. 55, N 2. P. 240–241. Bibliographic record Record in BibTeX format Information on eLIBRARY Information on ResearchGate Journal site Russian version
4.	Gutman A.E., Kusraev A.G., Kutateladze S.S. The Wickstead problem. Preprint. Vladikavkaz, 2007. 44 p. (IAMI VSC RAS; N 3) Bibliographic record Record in BibTeX format Preprint (PDF) Cover (PDF) Information on ResearchGate DOI resolution
5.	Gutman A.E., Kusraev A.G., Kutateladze S.S. The Wickstead problem. Electron. preprint. arXiv.org, 2007. 44 p. (arXiv:0712.2378 [math.FA]) Bibliographic record Record in BibTeX format Electronic preprint (PDF) Preprint on arXiv.org (PDF) Preprint abstract on arXiv.org Information on ResearchGate
6.	Gutman A.E., Kusraev A.G., Kutateladze S.S. The Wickstead problem // Sib. Electron. Math. Rep. 2008. V. 5. P. 293–333. Bibliographic record Record in BibTeX format Article (PDF) Article on the journal site (PDF) Information on ResearchGate Volume on the journal site Journal site

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Last updated
June 10, 2020