Operators having selfadjoint squares

2014/03/24 by Zoltán Sebestyén, Sebestyén, Zoltán, Zsigmond Tarcsay +1 · 1 citation
Computer Science · Mathematics · #47B25 #47B65 #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Matrix Theory and Algorithms #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1403.5914

openalex publication_date 2014/03/24 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

The main goal of this paper is to show that a (not necessarily densely defined or closed) symmetric operator A acting on a real or complex Hilbert space is selfadjoint exactly when I+A² is a full range operator.

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• Unbounded operators having self-adjoint or normal powers and some\n related results

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