4th LINEAR ALGEBRA WORKSHOP

Bled, Slovenia, 2005, May 16-24

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Program of LAW’05

	Monday, May 16	Tuesday, May 17	Wednesday, May 18	Thursday, May 19	Friday, May 20
9.00 - 9.40 The wake-up talk	C. K. Li Distance preserving maps on matrices	J. Holbrook Geometry and means	R. Loewy The exponent of a K-primitive matrix	Y. Turovskii Topological radicals of normed algebras	No lectures – Conference excursion
9.50 - 10.30 The warm-up talk	H. Radjavi Semitransitive collections of operators	J. Leech Skew lattices of idempotents in rings, especially in matrix rings	E. Kissin Clarkson-McCarthy inequalities in Schatten ideals	J. Alaminos Applications of Kazhdan's property to automatic continuity
10.30 - 11.00 Coffee break
11.00 - 11.40 The in-between talk	A. Villena Banach algebras generated by compact groups of operators	R. Bhatia Applications of Fourier analysis in matrix theory	L. Rodman Noncanonical factorization	J. Zemánek Powers of operators and the numerical range
11.50 – 12.30 The noon talk	P. Binding Some eigenvalue problems for the p-Laplacian	M. Radjabalipour On collections of matrices with entries from a division ring	D. Ilišević On a class of projections on *-rings	R. Meshulam Laplacians, homology and hypergraph matching
12.30 - 14.30 FREETIME
14.30 - 16.00 The in-between working group	H. Radjavi Approximate spectral conditions, transitivity and related questions	R. Bhatia, J. Holbrook Positive definite matrices	L. Rodman Indefinite inner products	J. Zemánek Powers and resolvents
16.00 - 16.30 Coffee break
16.30 - 18.00 The evening working group	A. Villena Structure of Jordan and Lie mappings on Banach algebras	T. Laffey Companion-like matrices and their eigenvectors	H. Radjavi Semitransitivity and related questions	H. Radjavi Semitransitivity and related questions

	Saturday, May 21	Sunday, May 22		Monday, May 23	Tuesday, May 24
9.00 - 9.40 The wake-up talk	A. Salemi On polynomial numerical hulls of matrices and matrix polynomials	V. Lomonosov Around Burnside's theorem on operator algebras		R. Timoney Some formulae for norms of elementary operators	R. Pereira Matrix-Theoretic Methods in the Analytic Theory of Polynomials
9.50 - 10.30 The warm-up talk	V. Shulman Spectra of multiplication operators on Banach algebras	T. Laffey Symmetric nonnegative matrices		A. Sourour Products of idempotents	J. Extremera Rotation invariant norms
10.30 - 11.00 Coffee break
11.00 - 11.40 The in-between talk	J. Okniński Growth and identities of semigroups of matrices	A. Jafarian Mathematics of medical imaging		C. Ambrozie Joint invariant subspaces for tuples of polynomially bounded operators	H. Radjavi Semitransitivity and related questions
11.50 – 12.30 The noon talk	H. Radjavi Semitransitivity and related questions	T. Laffey Companion-like matrices and their eigenvectors
12.30 - 14.30 FREETIME
14.30 - 16.00 The in-between working group	Student presentations	L. Rodman Indefinite inner products			L. Rodman Indefinite inner products
16.00 - 16.30 Coffee break
16.30 - 18.00 The evening working group	Student presentations	R. Bhatia, J. Holbrook Positive definite matrices	D. Hadwin C^*-algebras working group	H. Radjavi Semitransitivity and related questions

Student presentations, May 21:

14.30-14.50	D. Benkovič: Jordan homomorphisms on triangular matrices
14.50-15.10	D. Kokol Bukovšek: Homomorphisms of matrix semigroups
15.20-15.40	J. Vršovský: Orbits of operators tending to infinity
15.40-16.00	H. Šmigoc: Necessary conditions for the existence of a common quadratic Lyapunov function
16.00-16.30	Coffee break
16.30-16.50	K. Cvetko-Vah: Cubic skew lattices in rings of matrices
16.50-17.10	T. Shulman: On covariant maps of matrices
17.20-17.40	A. Fošner: Order preserving maps on the poset of upper triangular idempotent matrices
17.40-18.00	G. Cigler: Permutation-like groups of matrices