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Brief communications

Normal Decompositions of Operator Spaces over Locally Convex Spaces

I. V. Orlov

Vernadskiy Tavricheskiy National University

Abstract: The normal decomposition of operator spaces into inductive scales of locally convex spaces in accordance with the classification of operators by their normal indices is considered. The canonical isomorphisms of operator spaces over Banach space are generalized to operators in locally convex spaces.

Keywords: locally convex space, inductive scale of spaces, normal index, operator space, canonical isomorphism.

UDC: 517.98

Received: 31.10.2001

DOI: 10.4213/faa223

 English version: Functional Analysis and Its Applications, 2002, 36:4, 318–320

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