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Mathematics - Analysis | Unbounded Self-adjoint Operators on Hilbert Space

Unbounded Self-adjoint Operators on Hilbert Space

Series: Graduate Texts in Mathematics, Vol. 265

Schmüdgen, Konrad

2012, XX, 432 p.

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  • Includes important topics which are not yet or not completely presented in a text book
  • Numerous well-choosen examples and exercises help the reader to learn  dealing with unbounded operators
  • Treats unbounded self-adjoint operators with the emphasis on applications in mathematical physics
The book is a graduate text on unbounded self-adjoint operators on Hilbert space and their spectral theory with the emphasis on applications in mathematical physics (especially, Schrödinger  operators) and analysis (Dirichlet and Neumann Laplacians, Sturm-Liouville operators, Hamburger moment problem) . Among others, a number of advanced special topics   are treated on a text book level  accompanied by numerous illustrating examples and exercises. The main themes of the book are the following:
- Spectral integrals and  spectral decompositions of self-adjoint and normal operators
- Perturbations of self-adjointness and of spectra of self-adjoint operators
- Forms and operators
- Self-adjoint extension theory :boundary triplets, Krein-Birman-Vishik theory of positive self-adjoint extension

Content Level » Graduate

Keywords » Banach space - Hamburger moment problem - Hilbert space - Perturbation of self-adjointness - Schrödinger operators - Self-adjoint extension theory - Self-adjoint operators - Spectral theory - Sturm-Liouville operators

Related subjects » Analysis - Theoretical, Mathematical & Computational Physics

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