Journal of Operator Theory

Volume 82, Issue 2, Fall 2019 pp. 357-367.

The square root of nonnegative selfadjoint linear relations in Hilbert spaces

Authors: Marcel Roman (1), Adrian Sandovici (2)
Author institution:(1) Department of Mathematics and Informatics,\break ``Gheorghe Asachi'' Technical University of Ia\c{s}i, Ia\c{s}i, B-dul Carol I, nr. 11, 700506, Romania
(2) Department of Mathematics and Informatics,\break ``Gheorghe Asachi'' Technical University of Ia\c{s}i, Ia\c{s}i, B-dul Carol I, nr. 11, 700506, Romania

Summary: An elementary construction of the square root of nonnegative selfadjoint linear relations in Hilbert spaces is presented.

DOI: http://dx.doi.org/10.7900/jot.2018may24.2226
Keywords: Hilbert space, nonnegative linear relation, selfadjoint linear relation, square root

Contents Full-Text PDF