| Description |
1 online resource (xviii, 528 pages) |
| Series |
Operator Theory: Advances and Applications ; v. 217 |
|
Operator theory, advances and applications ; v. 217.
|
| Contents |
1. Extensions of symmetric operators -- 2. Geometry of rigged Hilbert spaces -- 3. Bi-extensions of closed symmetric operators -- 4. Quasi-self-adjoint extensions -- 5. The Livšic canonical systems with bounded operators -- 6. The Herglotz-Nevanlinna functions and rigged canonical systems -- 7. Classes of realizable Herglotz-Nevanlinna functions -- 8. Normalized L-systems -- 9. Canonical L-systems with contractive and accretive operators -- 10. L-systems with Schrödinger operator -- 11. Non-self-adjoint Jacobi matrices and system interpolation -- 12. Non-canonical systems |
| Summary |
This book is devoted to conservative realizations of various classes of Stieltjes, inverse Stieltjes, and general Herglotz-Nevanlinna functions as impedance functions of linear systems. The main feature of the monograph is a new approach to the realization theory profoundly involving developed extension theory in triplets of rigged Hilbert spaces and unbounded operators as state-space operators of linear systems. The connections of the realization theory to systems with accretive, sectorial, and contractive state-space operators as well as to the Phillips-Kato sectorial extension problem, the Krein-von Neumann and Friedrichs extremal extensions are provided. Among other results the book contains applications to the inverse problems for linear systems with non-self-adjoint Schrödinger operators, Jacobi matrices, and to the Nevanlinna-Pick system interpolation |
| Analysis |
wiskunde |
|
mathematics |
|
fysica |
|
physics |
|
toegepaste wiskunde |
|
applied mathematics |
|
Mathematics (General) |
|
Wiskunde (algemeen) |
| Bibliography |
Includes bibliographical references and index |
| Notes |
Print version record |
| In |
Springer eBooks |
| Subject |
Operator theory.
|
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Operator-valued functions.
|
|
Hilbert space.
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Hilbert space
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Operator theory
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Operator-valued functions
|
| Form |
Electronic book
|
| Author |
Belyi, Sergey
|
|
Tsekanovskii, Eduard
|
| ISBN |
9783764399962 |
|
3764399961 |
|
9783764399955 |
|
3764399953 |
|
