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Non-semi-bounded closed symmetric forms associated with a generalized Friedrichs extension
2014
Proceedings of the Royal Society of Edinburgh. Section A Mathematics
The theory of closed sesquilinear forms in the non-semi-bounded situation exhibits some new features, as opposed to the semi-bounded situation. In particular, there can be more than one closed form associated with the generalized Friedrichs extensionSFof a non-semi-bounded symmetric operatorS(ifSFexists). However, there is one unique form[·, ·] satisfying Kato's second representation theorem and, in particular, dom= dom ∣SF∣1/2. In the present paper, another closed form[·, ·], also uniquely
doi:10.1017/s0308210512000108
fatcat:5f6pwdz4jvc4roe4j6vhbqjo6m