عنوان

Operator theory, analysis and the state space approach :

3030042685

3030042693

9783030042684

9783030042691

9783030042684

Operator theory, analysis and the state space approach :

[Book]

in honor of Rien Kaashoek /

Harm Bart, Sanne ter Horst, André C.M. Ran, Hugo J. Woerdeman, editors.

Cham, Switzerland :

Birkhäuser,

[2018]

1 online resource

Operator theory, advances and applications ;

v. 271

On the maximal ideal space of even quasicontinuous functions on the unit circle

Intro; Preface; Contents; Curriculum Vitae of M.A. Kaashoek; Publication List of M.A. Kaashoek; Dissertation; Research monographs; Papers in professional journals; Edited books and journal issues; Other publications; Ph. D. students of M.A. Kaashoek; Personal reminiscences; Marinus A. Kaashoek: Guide, Companion and Friend; Reminiscences on Rien Kaashoek: Amsterdam and Potchefstroom; Amsterdam; Potchefstroom; My PhD time with Rien Kaashoek; Personal reminiscences: working with Rien; References; Working with Rien Kaashoek; Rien Kaashoek: Mentor, colleague and friend

3.3. L-free directed bipartite graphs: definition and related notions3.4. In-diagrams and out-diagrams; 3.5. L-closures; 4. L-free directed graphs: canonical forms; 5. The upper triangular-type case; 5.1. Observation concerning reflexivity; 5.2. Relationship of the in/out-diagrams to in/out-ultra closures; 5.3. L-closures of upper triangular-type partial orders; 5.4. Canonical forms; 6. Application: counting equivalence classes; 7. Concluding remarks and open problems; 7.1. L-free directed bipartite graphs: characterization; 7.2. Issues for further research; References

7. Dichotomous and bicausal bounded real lemmas8. Bounded real lemma for nonstationary systems with dichotomy; References; L-free directed bipartite graphs and echelon-type canonical forms; 1. Introduction; 2. Canonical echelon-type forms; 2.1. Terminology, notation and statement of basic results; 2.2. Verification via reduction to the upper triangular case; 2.3. An algorithm for constructing canonical forms; 2.4. An example; 3. Zero patterns and graph theoretical preparations; 3.1. Zero pattern subspaces and algebras; 3.2. Echelon compatibility

Extreme individual eigenvalues for a class of large Hessenberg Toeplitz matrices1. Introduction; 2. Main results; 3. An example; 4. Proof of the main results; References; How to solve an equation with a Toeplitz operator?; 1. A personal note; 2. Operators on the Hardy space; 2.1. Wiener-Hopf factorization; 2.2. Finite section method; 3. Operators on the Bergman space; 3.1. Finite section method; 3.2. The Bergman kernel; 3.3. Polynomial collocation; 3.4. The Bergman metric; 3.5. Analytic element collocation; 3.6. Test computations; 3.7. General domains; Appendix: Phase plots; References

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This volume is dedicated to Rien Kaashoek on the occasion of his 80th birthday and celebrates his many contributions to the field of operator theory during more than fifty years. In the first part of the volume, biographical information and personal accounts on the life of Rien Kaashoek are presented. Eighteen research papers by friends and colleagues of Rien Kaashoek are included in the second part. Contributions by J. Agler, Z.A. Lykova, N.J. Young, J.A. Ball, G.J. Groenewald, S. ter Horst, H. Bart, T. Ehrhardt, B. Silbermann, J.M. Bogoya, S.M. Grudsky, I.S. Malysheva, A. Böttcher, E. Wegert, Z. Zhou, Y. Eidelman, I. Haimovici, A.E. Frazho, A.C.M. Ran, B. Fritzsche, B. Kirstein, C. Madler, J.J. Jaftha, D.B. Janse van Rensburg, P. Junghanns, R. Kaiser, J. Nemcova, M. Petreczky, J.H. van Schuppen, L. Plevnik, P. Semrl, A. Sakhnovich, F.-O. Speck, S. Sremac, H.J. Woerdeman, H. Wolkowicz and N. Vasilevski.--

Operator Theory, Analysis and the State Space Approach : In Honor of Rien Kaashoek.

9783030042684

Mathematical analysis, Congresses.

Operator theory, Congresses.

State-space methods, Congresses.

Mathematical analysis.

Operator theory.

State-space methods.

Bart, H., (Harm),1942-

Horst, Sanne ten

Kaashoek, M. A.

Ran, A. C. M., (André C. M.),1956-

Woerdeman, Hugo J., (Hugo Jan),1962-

Operator Theory, Analysis and the State Space Approach (Workshop)(2017 :, Amsterdam, Netherlands)

20200823080359.0

pn

[Book]

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