Advances in Invariant Subspaces and Other Results of Operator Theory: 9th International Conference on Operator Theory, Timişoara, and Herculane (

ISBN-13: 9783034877008 / Angielski / Miękka / 2012 / 375 str.

Arsene

Opis

The annual Operator Theory conferences, organized by the Department of Mathematics of INC REST and the University of Timi?oara, are intended to promote cooperation and exchange of information between specialists in all areas of operator theory. This volume consists of papers contributed by the participants of the 1984 Conference. They reflect a great variety of topics, dealt with by the modern operator theory, including very recent advances in the invariant subspace problem, subalgebras of operator algebras, hyponormal, Hankel and other special classes of operators, spectral decompositions, aspects of dilation theory and so on. The research contracts of the Department of Mathematics of INCREST with the National Council for Science and Technology of Romania provided the means for developing the research activity in mathematics; they represent the generous framework of these meetings, too. It is our pleasure to acknowledge the financial support of UNESCO which also contibuted to the success of this meeting. We are indebted to Professor Israel Gohberg for including these Proceedings in the OT Series and for valuable advice in the editing process. Birkhauser Verlag was very cooperative in publishing this volume. Mariana Bota, Camelia Minculescu and Rodica Stoenescu dealt with the difficult task of typing the whole manuscript using a Rank Xerox 860 word processor; we thank them for the excellent job they did.

Spis treści

Some topics in the theory of decomposable operators.- Korovkin closures in Banach algebras.- On the theory of the class % MathType!MTEF!2!1!+- % feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaamyqamaaBa % aaleaacqGH1ecWdaWgaaadbaGaaGimaaqabaaaleqaaaaa!397A!$${A_{{\aleph _0}}}$$ with applications to invariant subspaces and the Bergman shift operator.- Examples of chains of invariant subspaces.- Isometric dilations of commuting contractions. IV.- Recent results on reflexivity of operators and algebras of operators.- Schur analysis for matrices with finite number of negative squares.- Uniform algebras, Hankel operators and invariant subspaces.- Contractions génériques.- Hilbert modules over function algebras.- Differential equation of an inner function. II.- On a class of unitary operators in Krein space.- Naimark dilations, state-space generators and transmission lines.- Contractions being weakly similar to unitaries.- A characterization of generalized zeros of negative type of functions of the class N?.- Skew-symmetric operators and isometries on a real Banach space with a hyperorthogonal basis.- On the operator equation ax + (ax)* ? ?x= b.- On the inverse problem of a dissipative scattering theory. I.- Some spectral properties of an operator.- Hyponormal operators and eigendistributions.- The invariant subspace problem: a description with further applications of a combinatorial proof.- Some results on cohomology with Borel cochains, with applications to group action on operator algebras.- Spectral mapping theorems for analytic functional calculi.- Prediction theory and choice sequences: an alternate approach.- Idael properties of order bounded operators on ordered Banach spaces which are not Banach lattices.- More about pseudodifferential operators on bounded domains.