Semilinear operators

DOI10.1063/1.528126zbMath0657.47024OpenAlexW4237056578MaRDI QIDQ3805329

D. F. Almeida, Chandra Shekhar Sharma

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1063/1.528126

zbMATH Keywords

complete set of eigenvectorsadditive operators on complex and quaternionic Hilbert spaceseigenvalue problem for semilinear operatorsfinding three involutive mutually anticommuting self-adjoint two-by-two matrices and four four-by-four matrices with the same propertiesSemilinear operators on a complex Hilbert space

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) Inner product spaces and their generalizations, Hilbert spaces (46C99) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

Related Items (3)

Classification and properties of the spectrum of additive operators ⋮ Additive functionals and operators on a quaternionic Hilbert space ⋮ A direct proof of Wigner's theorem on maps which preserve transition probabilities between pure states of quantum systems

Cites Work

• Quaternion quantum mechanics: Second quantization and gauge fields
• Calculus on complex Banach spaces
• Quaternionic quantum field theory
• A new differential calculus on a complex Banach space with application to variational problems of quantum theory
• Isometries of operator algebras
• Spectral theory for unitary operators on a quaternionic Hilbert space
• On the extremum problem of the energy functional on the set of Slater determinants
• The generalised Brillouin theorem

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