On the comparability of 𝐴^{1/2} and 𝐴^{∗1/2}

Alan McIntosh

Source record

Source: Crossref

Published: Apr 1, 1972

DOI: 10.1090/s0002-9939-1972-0290169-7

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Source abstract

There exists a regularly accretive operator A in a Hilbert space H such that A 1 / 2 {A^{1/2}} and A ∗ 1 / 2 {A^{ \ast 1/2}} have different domains. Consequently, the domain of the closed bilinear form corresponding to A is different from the domain of A 1 / 2 {A^{1/2}} .

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