A.C.M. Ran

Personal profile

Research

Research on linear algebra, operator theory and systems and control theory.

Several current project are concerned with linear algebra in spaces with an indefinite inner product.

Teaching

Teaching: Mathematical control and systems theory, linear algebra, and although it is not my expertise, I am teaching an Introduction to Financial Mathematics course.

Ancillary activities

Stichting Advancement of Mathematics | Amstelveen | Secretaris/ Penningmeester | 1996-02-01 - present
Stichting Epsilon | Amsterdam | Bestuurder | 2018-07-03 - present

Ancillary activities are updated daily

Education/Academic qualification

Mathematics, PhD, Vrije Universiteit Amsterdam

Mathematics, Master, Vrije Universiteit Amsterdam

Mathematics, Bachelor, Vrije Universiteit Amsterdam

Fingerprint Dive into the research topics where A.C.M. Ran is active. These topic labels come from the works of this person. Together they form a unique fingerprint.

Rank One Perturbation Mathematics

Indefinite Inner Product Mathematics

Operator Mathematics

Matrix Function Mathematics

Rational function Mathematics

Unit circle Mathematics

Eigenvalue Mathematics

Structured Perturbations Mathematics

Network Recent external collaboration on country level. Dive into details by clicking on the dots.

Research Output 1999 2019

62 Article
17 Chapter
5 Conference contribution
4 PhD Thesis - Research VU, graduation VU
8 More

A toeplitz-like operator with rational symbol having poles on the unit circle II: The spectrum

Groenewald, G. J., ter Horst, S., Jaftha, J. & Ran, A. C. M., 1 Jan 2019, Interpolation and Realization Theory with Applications to Control Theory: In honor of Joe Ball. Bolotnikov, V., ter Horst, S., Ran, A. C. M. & Vinnikov, V. (eds.). Springer International Publishing AG, p. 133-154 22 p. (Operator Theory: Advances and Applications; vol. 272).

Research output: Chapter in Book / Report / Conference proceeding › Chapter › Academic › peer-review

Essential Spectrum

Otto Toeplitz

Unit circle

Pole

Continuous Spectrum

A Toeplitz-Like Operator with Rational Symbol Having Poles on the Unit Circle III: The Adjoint

Groenewald, G. J., ter Horst, S., Jaftha, J. & Ran, A. C. M., Oct 2019, In : Integral Equations and Operator Theory. 91, 5, p. 1-23 23 p., 43.

Research output: Contribution to Journal › Article › Academic › peer-review

Otto Toeplitz

Unit circle

Pole

Toeplitz Operator

Operator

Preface

Bolotnikov, V., Ter Horst, S., Ran, A. C. M. & Vinnikov, V., 2019, Interpolation and Realization Theory with Applications to Control Theory: In Honor of Joe Ball. Bolotnikov, V., ter Horst, S., Ran, A. C. M. & Vinnikov, V. (eds.). Springer, p. vii-vii 1 p. (Operator Theory: Advances and Applications; vol. 272).

Research output: Chapter in Book / Report / Conference proceeding › Foreword/postscript › Academic

A note on inner-outer factorization of wide matrix-valued functions

Frazho, A. E. & Ran, A. C. M., 2018, Operator Theory, Advances and Applications: In Honor of Rien Kaashoek. Springer International Publishing Switzerland, p. 201-214 14 p. (Operator Theory: Advances and Applications; vol. 271).

Research output: Chapter in Book / Report / Conference proceeding › Chapter › Academic › peer-review

Factorization

G-function

Rational function

Expand

State Space

A toeplitz-like operator with rational symbol having poles on the unit circle i: Fredholm properties

Groenewald, G. J., ter Horst, S., Jaftha, J. & Ran, A. C. M., 2018, Operator Theory, Advances and Applications: In Honor of Rien Kaashoek. Springer International Publishing Switzerland, p. 239-268 30 p. (Operator Theory: Advances and Applications; vol. 271).

Research output: Chapter in Book / Report / Conference proceeding › Chapter › Academic › peer-review

Fredholm Property

Otto Toeplitz

Unit circle

Pole

Unbounded Operators