Spectral Theory, Mathematical System Theory, Evolution Equations, Differential and Difference Equations [electronic resource] : 21st International Workshop on Operator Theory and Applications, Berlin, July 2010 /
International Workshop on Operator Theory and Applications(21st :2010 :Berlin, Germany)
International Workshop on Operator Theory and Applications
Arendt, Wolfgang.editor.
Ball, Joseph A.editor.
Behrndt, Jussi.editor.
Förster, Karl-Heinz,1938-.editor.
Mehrmann, Volker.editor.
Trunk, Carsten.editor.
The present volume contains a collection of original research articles and expository contributions on recent developments in operator theory and its multifaceted applications. They cover a wide range of themes from the IWOTA 2010 conference held at the TU Berlin, Germany, including spectral theory, function spaces, mathematical system theory, evolution equations and semigroups, and differential and difference operators. The book encompasses new trends and various modern topics in operator theory, and serves as a useful source of information to mathematicians, scientists and engineers.
Description based upon print version of record.
2.1. Basic definitions2.2. Examples; 2.2.1. Sequence spaces; 2.2.2. Lebesgue spaces; 2.2.3. Spaces of locally integrable functions; 3. Operators in pip-spaces; 3.1. Definitions; 3.2. Regular operators; 3.3. Morphisms; 3.3.1. Monomorphisms; 3.3.2. Epimorphisms; 3.3.3. Isomorphisms; 3.3.4. Orthogonal projections.; 4. Examples of operators; 4.1. General operators; 4.1.1. Regular linear functionals; 4.1.2. Dyadics; 4.1.3. Matrix elements; 4.2. Integral operators on Lp spaces; 5. LHS generated by O*-algebras; 6. Conclusion; References; From Forms to Semigroups; Introduction
1. The Hille-Yosida Theorem2. Holomorphic semigroups; 3. The Lumer-Phillips Theorem; 4. Forms: the complete case; 5. The Stokes operator; 6. From forms to semigroups: the incomplete case; 7. Degenerate diffusion; 8. The Dirichlet-to-Neumann operator; References; Accretive (*)-extensions and Realization Problems; 1. Introduction; 2. Preliminaries; 3. The Friedrichs and Kre.in-von Neumann extensions; 4. Bi-extensions of non-negative symmetric operators; 5. Accretive bi-extensions; 6. Realization of Stieltjes functions; 7. Realization of inverse Stieltjes functions; 8. Examples; Acknowledgment
3. The ν-metric when R = QAReferences; Families of Homomorphisms in Non-commutative Gelfand Theory: Comparisons and Examples; 1. Introduction and preliminaries; 2. First observations; 3. Matrix representations; 4. Separating versus sufficient families of matrix representations; 5. Separating versus weakly sufficient families of matrix representations; Acknowledgment; References; Operator Splitting with Spatial-temporal Discretization; 1. Introduction; 2. Rational approximations; Proof of Lemma 2.1; Acknowledgment; References
On a Theorem of Karhunen and Related Moment Problems and Quadrature Formulae
The present volume contains a collection of original research articles and expository contributions on recent developments in operator theory and its multifaceted applications. They cover a wide range of themes from the IWOTA 2010 conference held at the TU Berlin, Germany, including spectral theory, function spaces, mathematical system theory, evolution equations and semigroups, and differential and difference operators. The book encompasses new trends and various modern topics in operator theory, and serves as a useful source of information to mathematicians, scientists and engineers.
Operator theory.
Functional analysis.
Operator Theory.
Functional Analysis.
Operator theory