Operators of Class C0 with Spectra in Multiply Connected Regions. Memoirs of the American Mathematical Society; vol. 127, no. 607.

Zucchi, Adele:

ISBN 10: 0821806262 / ISBN 13: 9780821806265

Published by Providence, American Mathematical Society, 1997

About this Item

52 p. Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. C-05525 9780821806265 Sprache: Englisch Gewicht in Gramm: 550.

Seller Inventory # 2491779

Bibliographic Details

• Title: Operators of Class C0 with Spectra in Multiply Connected Regions. Memoirs of the American Mathematical Society; vol. 127, no. 607.
• Publisher: Providence, American Mathematical Society
• Publication Date: 1997
• Language: English
• ISBN 10: 0821806262
• ISBN 13: 9780821806265
• Binding: Softcover
• Weight: 550 grams
• Seller catalogs:
  • SA MATHEMATIK

About this title

Synopsis

Let $\Omega$ be a bounded finitely connected region in the complex plane, whose boundary $\Gamma$ consists of disjoint, analytic, simple closed curves. The author considers linear bounded operators on a Hilbert space $H$ having $\overline \Omega$ as spectral set, and no normal summand with spectrum in $\gamma$. For each operator satisfying these properties, the author defines a weak$^*$-continuous functional calculus representation on the Banach algebra of bounded analytic functions on $\Omega$. An operator is said to be of class $C_0$ if the associated functional calculus has a non-trivial kernel. In this work, the author studies operators of class $C_0$, providing a complete classification into quasisimilarity classes, which is analogous to the case of the unit disk.