2.1. Operator Theory and Evolutionary Systems

Papers in journals and proceedings

D.Z. AROV, M.A. KAASHOEK, D.R. PIK, Optimal time-variant systems and factorization of operators, I: minimal and optimal systems, Integral Equations and Operator Theory 31 (1998) 389-420.

H. BART, L. KROON, R.A. ZUIDWIJK, Quasicomplete factorization and the two machine flow shop problem. Linear Algebra Appl, 278 (1998) 195-219.

H. BART, R.A. ZUIDWIJK, Simultaneous reduction to triangular forms after extension with zeroes. Linear Algebra Appl, 281 (1998) 105-135.

C.J.K. BATTY, J.M.A.M. VAN NEERVEN, F. R¨ABIGER, Local spectra and individual stability of uniformly bounded $C\sb 0$-semigroups, Trans. Amer. Math. Soc. 350 (1998) no. 5, 2071-2085.

C.J.K. BATTY, J.M.A.M. VAN NEERVEN, F. R¨ABIGER, Tauberian theorems and stability of solutions of the Cauchy problem, Trans. Amer. Math. Soc. 350 (1998) no. 5, 2087-2103.

I. BIRINDELLI, E. MITIDIERI, G. SVIRS (G. SWEERS), Existence of the principal eigenvalue for cooperative elliptic systems in a general domain. (in Russian) Differ. Uravn. 35 (1999) no. 3, 325-333, 429.

D. BRIGO, B. HANZON, On some filtering problems arising in mathematical finance, Insurance: Mathematics and Economics, vol.22, no.1, 53-64, (1998).

D. BRIGO, B. HANZON, F. LEGLAND, A Differential Geometric Approach to Nonlinear Filtering: The Projection Filter, IEEE Transactions on Automatic Control, vol AC-43, No.2, 247-252, (1998).

D. BRIGO, F. LEGLAND, B. HANZON, Approximate Filtering by Projection on Exponential Manifolds of Densities, Bernoulli, vol.5, no.3, (1999) 495-534.

S. BU, PH. CLÉMENT, S. GUERRE-DELABRIÈRE, Regularity of pairs of positive operators, Illinois J. Math. 42 (1998) no. 3, 357-370.

PH. CLÉMENT, G. GRIPENBERG, S.-O. LONDEN, Hölder regularity for a linear fractional evolution equation, Topics in nonlinear analysis, Progr. Nonlinear Differential Equations Appl., 35, 69-82, Birkhäuser, Basel, (1999).

PH. CLÉMENT, S. GUERRE-DELABRIÈRE, On the regularity of abstract Cauchy problems and boundary value problems, Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl. 9 (1998) no. 4, 245-266 (1999).

PH. CLÉMENT, E. MITIDIERI, On a class of nonlinear elliptic systems, In: Nonlinear Evolution Equations and Applications. (Kyoto, 8-08-97), Kyoto University, Kyoto, Japan, (1998) 132-140.

PH. CLÉMENT, G. DA PRATO, White noise perturbation of the heat equation in materials with memory. In: Dynamic Systems and Applications, (1997) 6, (1998) 441-460.

PH. CLÉMENT, G. DA PRATO, J. PRÜSS, White noise perturbation of the equations of linear parabolic viscoelasticity, Rend. Istit. Mat. Univ. Trieste 29 (1997) no. 1-2, 207-220 (1998).

PH. CLÉMENT, M. GARCÍA-HUIDOBRO, R. MANÁSEVICH, Positive solutions of small norm to a quasilinear elliptic inclusion problem, Adv. Differential Equations 4 (1999) no. 1, 71-114.

PH. CLÉMENT, R. MANÁSEVICH, E. MITIDIERI, Some existence and non-existence results for a homogeneous quasilinear problem, Asymptot. Anal. 17 (1998) no. 1, 13-29.

P.G. DODDS, T.K. DODDS, B. DE PAGTER, F.A. SUKOCHEV, Lipschitz continuity of the absolute value in preduals of semifinite factors, Integral Equations Operator Theory 34 (1999) no. 1, 28-44.

P.G. DODDS, B. DE PAGTER, E.M. SEMENOV, F.A. SUKOCHEV, Symmetric functionals and singular traces, Positivity 2 (1998) no. 1, 47-75.

A. FISCHER, J.M.A.M. VAN NEERVEN, Robust stability of $C\sb 0$-semigroups and an application to stability of delay equations, J. Math. Anal. Appl. 226 (1998) no. 1, 82-100.

C. FOIAS, A. FRAZHO, I. GOHBERG, M.A. KAASHOEK, The maximum principle for the three chains completion problem, Integral Equations and Operator Theory 30 (1998) 67-82.

P. FREITAS, G. SWEERS, Positivity results for a nonlocal elliptic equation, Proc. Roy. Soc. Edinburgh Sect. A 128 (1998) no. 4, 697-715.

I. GOHBERG, M.A. KAASHOEK, State space methods for analysis problems involving rational matrix functions, In: Dynamical systems, control, coding, computer vision (eds. G. Picci, D.S. Gilliam), Birkhäuser Verlag, Basel, (1999) 93-110.

I. GOHBERG, M.A. KAASHOEK, A.L. SAKHNOVICH, Sturm-Liouville systems with rational Weyl functions: explicit formulas and applications, Integral Equations and Operator Theory 30 (1998) 338-377.

I. GOHBERG, M.A. KAASHOEK, A.L. SAKHNOVICH, Canonical systems with rational spectral densities: explicit formulas and applications, Math. Nachr. 194 (1998) 93-125.

I. GOHBERG, M.A. KAASHOEK, A.L. SAKHNOVICH, Pseudo-canonical systems with rational Weyl functions: explicit formulas and applications, J. Diff. Eqs. 146 (1998) 375-398.

I. GOHBERG, M.A. KAASHOEK, F. VAN SCHAGEN, Operator blocks and quadruples of subspaces: classification and the eigenvalue completion problem, Lin. Alg. Appl. 269 (1998) 65-89.

J.J. GROBLER, C. REINECKE, On principal T-band in a Banach lattice, Integral equations and operator theory, 28, (1997) 444-465.

H.-C. GRUNAU, G. SWEERS, Positivity properties of elliptic boundary value problems of higher order, Proceedings of the Second World Congress of Nonlinear Analysts, Part 8 (Athens, 1996). Nonlinear Anal. 30 (1997) no. 8, 5251-5258.

H.-C. GRUNAU, G. SWEERS, The maximum principle and positive principal eigenfunctions for polyharmonic equations, In: Reaction diffusion systems (Trieste, 1995) 163-182, Lecture Notes in Pure and Appl. Math., 194, Dekker, New York, (1998).

H.-C. GRUNAU, G. SWEERS, The role of positive boundary data in generalized clamped plate equations, Z. Angew. Math. Phys. 49 (1998) no. 3, 420-435.

H.-C. GRUNAU, G. SWEERS, Sign change for the Green function and for the first eigenfunction of equations of clamped-plate type, Arch. Ration. Mech. Anal. 150 (1999) no. 2, 179-190.

B. HANZON, R.J. OBER, Overlapping block-balanced canonical forms for various classes of linear systems, Linear Algebra and Its Applications, vol. 281, 171-225, (1998).

B. HANZON, M. OLIVI, R.L.M.PEETERS, Balanced Realizations of Discrete-Time Stable All-Pass Systems and the Tangential Schur Algorithm, Proceedings of the European Control Conference (ECC99), Karlsruhe, (1999).

S.Z. HUANG, J.M.A.M. VAN NEERVEN, On small solutions of delay equations in infinite dimensions, Integral Equations Operator Theory 31 (1998) no. 2, 178-185.

S.Z. HUANG, J.M.A.M. VAN NEERVEN, $B$-convexity, the analytic Radon-Nikodym property, and individual stability of $C\sb 0$-semigroups. J. Math. Anal. Appl. 231 (1999) no. 1, 1-20.

S.Z. HUANG, J.M.A.M. VAN NEERVEN, F. R¨ABIGER, Ditkin's condition for certain Beurling algebras, Proc. Amer. Math. Soc. 126 (1998) no. 5, 1397-1407.

M.A. KAASHOEK, C.V.M. VAN DER MEE, A.C.M. RAN, Wiener-Hopf factorization of transfer functions of extended Pritchard Salamon Realizations, Mathematische Nachrichten, Vol 196, 32, 71-102 (1998).

M.A. KAASHOEK, D.R. PIK, Factorization of lower triangular unitary operators with finite Kronecker index into elementary factors, In: Proceedings IWOTA-95, OT 103, Birkhäuser Verlag, Basel, (1998) 183-217.

M.A. KAASHOEK, A.C.M. RAN, Norm bounds for Volterra integral operators and time varying linear systems with finite horizon, In: Contributions to operator theory in spaces with an indefinite metric. The Heinz Langer volume, OT 106, Birkhäuser Verlag, Basel, (1998) 275-290.

M.A. KAASHOEK, C.G. ZEINSTRA, The band method and generalized Carathéodory-Toeplitz interpolation at operator points, Integral Equations and Operator Theory 33 (1999) 175-210.

B. LEMMENS, Integral rigid sets and periods of nonexpansive maps, Indag. Mathem., N.S. 10 (3) (1999) 437-447.

S. LI, G. SWEERS, Closed-form solution for a moving boundary problem, Tsinghua Sci. Technol. 3 (1998) no. 4, 1233-1235, 1239.

R. MANÁSEVICH, G. SWEERS, A noncooperative elliptic system with $p$-Laplacians that preserves positivity, Nonlinear Anal. 36 (1999) no. 4, Ser. A: Theory Methods, 511-528.

C.V.M. VAN DER MEE, A.C.M. RAN, L. RODMAN, Classes of plus-matrices in finite dimensional indefinite scalar product spaces, Integral Equations and Operator Theory (Krein-volume), 30 (1998) 432-451.

C.V.M. VAN DER MEE, A.C.M. RAN, L. RODMAN, Stability of selfadjoint square roots and polar decompositions in indefinite scalar product spaces, Linear Algebra and its Applications, 302-303 (1999) 77-104.

J.M.A.M. VAN NEERVEN, B. STRAUB, On the existence and growth of mild solutions of the abstract Cauchy problem for operators with polynomially bounded resolvent, Houston J. Math. 24 (1998) no. 1, 137-171.

J.M.A.M. VAN NEERVEN, The Norm of a Complex Banach Lattice, Positivity 1 (1998) 381-390.

J.M.A.M. VAN NEERVEN, Sandwiching $C\sb 0$-semigroups, J. London Math. Soc. (2) 60 (1999) no. 2, 581-588.

J.M.A.M. VAN NEERVEN, Nonsymmetric Ornstein-Uhlenbeck semigroups in Banach spaces, J. Funct. Anal. 155 (1998) no. 2, 495-535.

J.M.A.M. VAN NEERVEN, J. ZABCZYK, Norm discontinuity of Ornstein-Uhlenbeck semigroups, Semigroup forum 59 (1999) 389-403.

T.L. VAN NOORDEN, S.M. VERDUYN LUNEL, A. BLIEK, Direct determination of cyclic steady states of cyclically operated packed bed reactors-1: Accelaration methods applied to affine systems, In: Scientific Computing for Chemical Engineering, editors F. Keil, W. Mackens, H. Voss and J. Werner, Springer-Verlag, Berlin, (1999) 311-318.

R.D. NUSSBAUM, M. SCHEUTZOW, S.M. VERDUYN LUNEL, Periodic points of nonexpansive maps and nonlinear generalizations of the Perron-Frobenius theory, Selecta mathematica, New ser. 4 (1998) 141-181.

R.D. NUSSBAUM, S.M. VERDUYN LUNEL, Generalizations of the Perron-Frobenius theorem for nonlinear maps, Memoirs of the American Mathematical Society 138, number 659 (1999) 1-98.

B. DE PAGTER, W.J. RICKER, Algebras of multiplication operators in Banach function spaces, J. Operator Theory 42 (1999) no. 2, 245-267.

B. DE PAGTER, W.J. RICKER, On the bicommutant theorem for $\sigma$-complete Boolean algebras of projections in Banach spaces, Indag. Math. (N.S.) 10 (1999) no. 1, 87-100.

R.L.M. PEETERS, B. HANZON, Symbolic Computation of Fisher Information Matrices for Parametrized State-Space Models, Automatica, vol. 35, (1999) 1059-1071.

C. REINECKE, G. SWEERS, A boundary layer solution to a semilinear elliptic system of FitzHugh-Nagumo type, C. R. Acad. Sci. Paris Sér. I Math. 329 (1999) no. 1, 27-32.

C. REINECKE, G. SWEERS, A positive solution on ${\large\bf R}_{N}$ to a system of elliptic equations of FitzHugh-Nagumo type, J. Differential Equations 153 (1999) no. 2, 292-312.

N. STAVRAKAKIS, G. SWEERS, Positivity for a noncooperative system of elliptic equations in ${R}\sp N$, Adv. Differential Equations 4 (1999) no. 1, 115-136.

G. SWEERS, Hopf's lemma and two-dimensional domains with corners, Dedicated to the memory of Pierre Grisvard, Rend. Istit. Mat. Univ. Trieste 28 (1996) suppl., 383-419 (1997).

G. SWEERS, E. ZUAZUA, On the nonexistence of some special eigenfunctions for the Dirichlet Laplacian and the Lamé system, J. Elasticity 52 (1998/99) no. 2, 111-120.

M.F. UITERDIJK, A note on the functional calculus for sectorial operators, Indag. Math. (N.S.) 10 (1999) no. 1, 131-143.

M.F. UITERDIJK, On a Theorem by W. van Wahl, Zeitschrift für Analysis und ihre Anwendungen 16 (1998) 961-978.

Ph.D. Theses

D.R. PIK, Block lower triangular operators and optimal contractive systems. Free University Amsterdam, (1999).

M. UITERDIJK, Functional Calculi for Closed Linear Operators. Delft University of Technology, (1998).

F.J. VERMOLEN, Mathematical models for particle dissolution in extrudable aluminium alloys, Delft University of Technology, (1998).

Other publications

PH. CLÉMENT, C. COULHON, LE MERDY, B. DE PAGTER, H. WITVLIET, J. PRÜSS, N. OKAZAWA, Semi-groupes d'opérateurs et calcul fonctionnel. Ecole d'Eté (fasc. no. 16). Report for: Communauté Européenne. Université de Franche-Comté, Besançon, (1998) 130 p.

C. FOIAS, A. FRAZHO, I. GOHBERG, M.A. KAASHOEK, Metric constrained interpolation, commutant lifting and systems, Birkhäuser Verlag, Basel, (1998).

B. HANZON, Financiële Wiskunde: Kans en risico, Pythagoras, 38, nr 5, (1999) 6-8.

B. HANZON, Financiële Wiskunde: Risico en nut, Pythagoras, 38, nr 5, (1999) 11-13.

S.M. VERDUYN LUNEL, In Beweging, Oratie Vrije Universiteit, VU Boekhandel/Uitgeverij Amsterdam, (1998) 23 p.