Umfang:
1 Online-Ressource (x, 428 Seiten)
,
Illustrationen
ISBN:
9781009004305
Serie:
Cambridge tracts in mathematics 225
Inhalt:
"This concise monograph explores how core ideas in Hardy -space function theory and operator theory continue to be useful and informative in new settings, leading to new insights for noncommutative multivariable operator theory. Beginning with a review of the confluence of system -theory ideas and reproducing -kernel techniques, the book then covers representations of backward-shift-invariant subspaces in the Hardy space as ranges of observability operators, and representations for forward-shift-invariant subspaces via a Beurling-Lax representer equal to the transfer function of the linear system. This pair of backward-shift-invariant and forward-shift-invariant subspacesubspaces form a generalized orthogonal decomposition of the ambient Hardy space. All this leads to the de Branges-Rovnyak model theory and characteristic operator function for a Hilbert -space contraction operator. The chapters that follow generalize the system theory and reproducing -kernel techniques to enable an extension of the ideas above to weighted Bergman -space multivariable settings"--
Anmerkung:
Includes bibliographical references and indexes
Weitere Ausg.:
ISBN 9781316518991
Weitere Ausg.:
Erscheint auch als Druck-Ausgabe Ball, Joseph A., 1947 - Noncommutative function-theoretic operator theory and applications Cambridge : Cambridge University Press, 2022 ISBN 9781316518991
Sprache:
Englisch
Fachgebiete:
Mathematik
Schlagwort(e):
Hardy-Raum
;
Operatortheorie
DOI:
10.1017/9781009004305
Mehr zum Autor:
Ball, Joseph A. 1947-
Bookmarklink
