Operator Theory and Boundary Eigenvalue Problems: International Workshop in Vienna, July 27–30, 1993
Izrailʹ Cudikovič Gochberg (Mathematiker), Yiśrāʿēl Z. Gohberg, Helmut Langer, I. Gohberg, H. Langer
Springer Verlag Ny, Sep 28, 1995 - Mathematics - 313 pages
The Workshop on Operator Theory and Boundary Eigenvalue Problems was held at the Technical University, Vienna, Austria, July 27 to 30, 1993. It was the seventh workshop in the series of IWOTA (International Workshops on Operator Theory and Applications). The main topics at the workshop were interpolation problems and analytic matrix functions, operator theory in spaces with indefinite scalar products, boundary value problems for differential and functional-differential equations and systems theory and control. The workshop covered different aspects, starting with abstract operator theory up to contrete applications. The papers in these proceedings provide an accurate cross section of the lectures presented at the workshop. This book will be of interest to a wide group of pure and applied mathematicians.
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Operator Theory and Boundary Eigenvalue Problems: International Workshop in ...
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admits algebra Analysis Applications associated assume assumption belongs Blaschke-Potapov boundary bounded called canonical closed complete computation condition connection Consequently consider constant continuous Corollary corresponding defined definition denote Dept diagonal differential eigenvalue elements equality equation equivalent example exists fact factorization finite fixed follows formula function given hand hence hermitian Hilbert space holds implies inequality inner integral introduce invertible J-inner function Krein space Lemma lift linear linear connection Math Mathematics matrix Moreover multiplication negative nonnegative norm obtain operator pair particular positive problem Proof properties Proposition prove R(Ao realization relation Remark representation resolvent resp respect restriction satisfies selfadjoint extension sequence solution spectral spectrum subspace Suppose symmetric takes Theorem transformation triangular unique unit unitary University values vector zero