Off-diagonal terms in symmetric operators

DOI10.1063/1.533242zbMath0986.47021arXivmath-ph/9911017OpenAlexW3099267461MaRDI QIDQ2737934

Palle E. T. Jorgensen

Publication date: 30 August 2001

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/9911017

zbMATH Keywords

von Neumann theorysymmetric operatordeficiency indicessmooth projectionscommon dense and invariant domainobstructions to essential self-adjointness

Mathematics Subject Classification ID

Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Linear symmetric and selfadjoint operators (unbounded) (47B25) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36)

Related Items (1)

Iterated Function Systems, Moments, and Transformations of Infinite Matrices

Cites Work

• Analytic vectors
• Dilations of symmetric operators shifted by a unitary group
• Self adjoint extensions satisfying the Weyl operator commutation relations
• The stochastic Heisenberg model
• Representations of differential operators on a Lie group
• Approximately reducing subspaces for unbounded linear operators
• Approximately invariant subspaces for unbounded linear operators. II
• Essential self-adjointness of semibounded operators
• Quaternionic Cayley transform
• Solving moment problems by dimensional extension
• Interactions in noncommutative dynamics
• Positive elements in the algebra of the quantum moment problem
• A class of operator algebras which are determined by groups
• Operator representations of a q-deformed Heisenberg algebra
• Symmetries of boundary value problems in mathematical physics
• On the Canonical Commutation Relations.
• Hermitian Transformations of Deficiency-Index (1,1), Jacobi Matrices and Undetermined Moment Problems

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