000			nam a22 4500
999			_c32786 _d32786
008			240218b xxu||||| |||| 00| 0 eng d
020			_a9783030188764
082			_a515.724 _bZAG
100			_aZagrebnov, Valentin A.
245			_aGibbs Semigroups
260			_bBirkhauser, _aSwitzerland : _c2019
300			_axv, 319 p. ; _bill., _c24 cm.
365			_b129.99 _c€ _d94.80
490			_aOperator theory, advances and applications _vv.273
504			_aIncludes bibliographical references and index.
520			_aThis book focuses on the theory of the Gibbs semigroups, which originated in the 1970s and was motivated by the study of strongly continuous operator semigroups with values in the trace-class ideal. The book offers an up-to-date, exhaustive overview of the advances achieved in this theory after half a century of development. It begins with a tutorial introduction to the necessary background material, before presenting the Gibbs semigroups and then providing detailed and systematic information on the Trotter-Kato product formulae in the trace-norm topology. In addition to reviewing the state-of-art concerning the Trotter-Kato product formulae, the book extends the scope of exposition from the trace-class ideal to other ideals. Here, special attention is paid to results on semigroups in symmetrically normed ideals and in the Dixmier ideal. By examining the progress made in Gibbs semigroup theory and in extensions of the Trotter-Kato product formulae to symmetrically normed and Dixmier ideals, the book shares timely and valuable insights for readers interested in pursuing these subjects further. As such, it will appeal to researchers, undergraduate and graduate students in mathematics and mathematical physics.
650			_aHilbert space
650			_aVolterra
650			_aCanonical form
650			_aDixmier Ideal
650			_aSymmetrically normed ideals
650			_aTrace-norm topology
650			_aTrotter-Kato
650			_aTrace-class ideal
650			_aApproximants
942			_2ddc _cBK