A+ CATEGORY SCIENTIFIC UNIT

Generalized eigenfunction expansions and spectral decompositions

Volume 38 / 1997

Mihai Putinar Banach Center Publications 38 (1997), 265-286 DOI: 10.4064/-38-1-265-286

Abstract

The paper relates several generalized eigenfunction expansions to classical spectral decomposition properties. From this perspective one explains some recent results concerning the classes of decomposable and generalized scalar operators. In particular a universal dilation theory and two different functional models for related classes of operators are presented.

Authors

  • Mihai Putinar

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