A Positive Answer on Nirenberg’s Problem on Expansive Mappings in Hilbert Spaces

Asfaw, Teffera M.

A Positive Answer on Nirenberg’s Problem on Expansive Mappings in Hilbert Spaces

dc.contributor.author	Asfaw, Teffera M.	en
dc.date.accessioned	2022-03-21T11:48:21Z	en
dc.date.available	2022-03-21T11:48:21Z	en
dc.date.issued	2022-03-17	en
dc.date.updated	2022-03-20T08:00:09Z	en
dc.description.abstract	Nirenberg proposed a problem as to whether or not a continuous and expansive operator T : X⟶X (where X is a Hilbert space) is surjective if R(T)∘ ≠∅. I shall give a positive answer for the problem provided that R(T)∘ is unbounded. For contents related to this paper, the reader is referred to the remarks and the study of Asfaw (2021). The present paper gives a complete answer for the problem that has been open for about 47 years.	en
dc.description.version	Published version	en
dc.format.mimetype	application/pdf	en
dc.identifier.citation	Teffera M. Asfaw, “A Positive Answer on Nirenberg’s Problem on Expansive Mappings in Hilbert Spaces,” Abstract and Applied Analysis, vol. 2022, Article ID 9487405, 5 pages, 2022. doi:10.1155/2022/9487405	en
dc.identifier.doi	https://doi.org/10.1155/2022/9487405	en
dc.identifier.uri	http://hdl.handle.net/10919/109362	en
dc.language.iso	en	en
dc.publisher	Hindawi	en
dc.rights	Creative Commons Attribution 4.0 International	en
dc.rights.holder	Copyright © 2022 Teffera M. Asfaw. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.	en
dc.rights.uri	http://creativecommons.org/licenses/by/4.0/	en
dc.title	A Positive Answer on Nirenberg’s Problem on Expansive Mappings in Hilbert Spaces	en
dc.title.serial	Abstract and Applied Analysis	en
dc.type	Article - Refereed	en
dc.type.dcmitype	Text	en