A.C.M. Ran — Vrije Universiteit Amsterdam

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

Ancillary activities are updated daily

Education/Academic qualification

Mathematics, PhD, Vrije Universiteit Amsterdam

Mathematics, Master, Vrije Universiteit Amsterdam

Mathematics, Bachelor, Vrije Universiteit Amsterdam

Fingerprint Fingerprint is based on mining the text of the person's scientific documents to create an index of weighted terms, which defines the key subjects of each individual researcher.

Rank One Perturbation Mathematics

Indefinite Inner Product Mathematics

Matrix Function Mathematics

Operator Mathematics

Rational function Mathematics

Eigenvalue Mathematics

Structured Perturbations Mathematics

Factorization Mathematics

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Research Output 1999 2018

61 Article
16 Chapter
5 Conference contribution
4 PhD Thesis - Research VU, graduation VU
7 More

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

Canonical form for H-symplectic matrices

Groenewald, G. J., Janse van Rensburg, D. B. & Ran, A. C. M., 2018, Operator Theory, Advances and Applications: In Honor of Rien Kaashoek. Springer International Publishing Switzerland, p. 269-290 22 p. (Operator Theory: Advances and Applications; vol. 271).

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

Symplectic Matrix

Canonical form

Jordan Form

Invertible matrix

Invertible

Equivalence after extension and Schur coupling coincide for inessential operators

ter Horst, S., Messerschmidt, M., Ran, A. C. M., Roelands, M. & Wortel, M., Oct 2018, In : Indagationes Mathematicae. 29, 5, p. 1350-1361 12 p.

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

Equivalence

Operator

Fredholm Operator

Compact Operator

Invertible

Preface

Bart, H., Ter Horst, S., Ran, A. C. M. & Woerdeman, H. J., 2018, Operator Theory, Advances and the State Space Approach: In Honor of Rien Kaashoek. Vol. 271. p. v-v 1 p. (Operator Theory: Advances and Applications; vol. 271).

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