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2022 A Positive Answer on Nirenberg’s Problem on Expansive Mappings in Hilbert Spaces
Teffera M. Asfaw
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Abstr. Appl. Anal. 2022: 1-5 (2022). DOI: 10.1155/2022/9487405

Abstract

Nirenberg proposed a problem as to whether or not a continuous and expansive operator T:XX(where X is a Hilbert space) is surjective if RT°. I shall give a positive answer for the problem provided that RT° 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.

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Teffera M. Asfaw. "A Positive Answer on Nirenberg’s Problem on Expansive Mappings in Hilbert Spaces." Abstr. Appl. Anal. 2022 1 - 5, 2022. https://doi.org/10.1155/2022/9487405

Information

Received: 28 April 2021; Accepted: 24 February 2022; Published: 2022
First available in Project Euclid: 28 July 2022

Digital Object Identifier: 10.1155/2022/9487405

Rights: Copyright © 2022 Hindawi

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