Journal of the
Korean Mathematical Society
JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008

Article

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J. Korean Math. Soc. 2004; 41(1): 193-207

Printed January 1, 2004

Copyright © The Korean Mathematical Society.

Spectral theory, tensor products and infinite dimensional holomorphy

Sean Dineen

University College Dublin

Abstract

In this expository article we survey some recent developments on the construction of a holomorphic functional calculus for an infinite number of elements in a commutative unital Banach algebra.

Keywords: spectra, tensor products, holomorphic functional cal-culus

MSC numbers: 46G25, 46G20