J-Self-Adjointness of a Class of Dirac-Type Operators

dc.creatorCascaval, Radu
dc.creatorGesztesy, Fritz
dc.date2004-03-29
dc.date.accessioned2026-07-07T05:06:50Z
dc.date.available2026-07-07T05:06:50Z
dc.descriptionIn this note we prove that the maximally defined operator associated with a class of Dirac-type differential expressions M(Q) is J-self-adjoint with respect to a proper antilinear conjugation J under the general hypothesis that the entries of the matrix potential coefficient Q are locally integrable on the real line. The Dirac-type differential expression M(Q) is of significance as it appears in the Lax formulation of the nonabelian (matrix-valued) focusing nonlinear Schrödinger hierarchy of evolution equations.
dc.description8 pages. To appear in J. Math. Anal. Appl
dc.identifierhttps://arxiv.org/abs/math/0403491
dc.identifierhttp://arxiv.org/abs/math/0403491
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/70630
dc.subjectSpectral Theory
dc.subjectMathematical Physics
dc.subject34L40; 35Q55
dc.titleJ-Self-Adjointness of a Class of Dirac-Type Operators
dc.typetext

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