Titlebook: Linear Operators and Matrices; The Peter Lancaster I. Gohberg,H. Langer Conference proceedings 2002 Springer Basel AG 2002 Operator theory

stratum-corneum

Invariant Subspaces of Infinite Dimensional Hamiltonians and Solutions of the Corresponding RiccatiWe consider an infinite dimensional algebraic Riccati equation which arises in systems theory. Using a dichotomy property of the corresponding Hamiltonian and results on invariant subspaces of operators in spaces with an indefinite inner product we show the existence of bounded and unbounded solutions of this Riccati equation.

真繁荣

exclamation

Peter Lancaster, my Friend and Co-author,turn Heinz told us about the work of Peter, about his book on vibrations of systems and about his personality. He also brought the book to Odessa and Peter’s results were often quoted in the seminars and discussions, and very soon Peter became popular in Odessa.

Pepsin

Logarithmic Residues of Fredholm Operator Valued Functions and Sums of Finite Rank Projections,k bounded linear operators can be written as the left and right logarithmic residues of a single Fredholm operator valued function if and only if they belong to the same connected component, i.e., if and only if they are sums of finite rank projections having the same trace.

加花粗鄙人

Finite Section Method for Difference Equations,e-variant and the time-invariant case are considered. For the time-invariant case the condition reduces to the requirement that two subspaces defined in terms of the equations should be complementary. The results obtained extend those derived earlier for linear ordinary differential equations.

伪造

脾气暴躁的人

0255-0156 by a group of participants to honour Peter Lancaster on the occasion of his 70th birthday with a volume in the series ‘Operator Theory: Advances and Applications‘. Friends and colleagues responded enthusiastically to this proposal and within a short time we put together the volume which is now prese

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