Characterizations of essentially self-adjoint and skew-adjoint operators

Zoltán Sebestyén; Zsigmond Tarcsay

doi:10.1556/012.2015.52.3.1300

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Studia Scientiarum Mathematicarum Hungarica

Volume/Issue:: Volume 52: Issue 3

Characterizations of essentially self-adjoint and skew-adjoint operators

Authors:

Zoltán Sebestyén

Zoltán Sebestyén Department of Applied Analysis, Eötvös L. University, Pázmány Péter sétány 1/c., Budapest H-1117, Hungary

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sebesty@cs.elte.hu

and

Zsigmond Tarcsay

Zsigmond Tarcsay Department of Applied Analysis, Eötvös L. University, Pázmány Péter sétány 1/c., Budapest H-1117, Hungary

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tarcsay@cs.elte.hu

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Pages:: 371–385

Online Publication Date:: Sep 2015

Publication Date:: 01 Sep 2015

Article Category:: Journal Article

DOI:: https://doi.org/10.1556/012.2015.52.3.1300

Keywords:: Primary 47B25; 47B65; Essentially selfadjoint operators; symmetric operators; skew-adjoint operators; skew-symmetric operators

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An extension of von Neumann’s characterization of essentially selfadjoint operators is given among not necessarily densely defined symmetric operators which are assumed to be closable. Our arguments are of algebraic nature and follow the idea of [1].

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Studia Scientiarum Mathematicarum Hungarica

Print ISSN:: 0081-6906

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Péter CSIKVÁRI (ELTE, Budapest)
Joshua GREENE (Boston College)
Penny HAXELL (University of Waterloo)
Andreas HOLMSEN (Korea Advanced Institute of Science and Technology)
Ron HOLZMAN (Technion, Haifa)
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János PACH (Rényi Institute of Mathematics)
Péter Pál PACH (BME, Budapest)
Andrew SUK (University of California, San Diego)
Zoltán SZABÓ (Princeton University)
Martin TANCER (Charles University, Prague)
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Paul WOLLAN (University of Rome "La Sapienza")

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Studia Scientiarum Mathematicarum Hungarica
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