GENERALIZED SUBSCALAR OPERATORS.

Abstract

This paper treats a topic in generalized subscalar operators. Operator theory has been generalized from integral operators in Hilbert space to scalar and subscalar operators in Banach and other abstract spaces. In this paper some operators introduced by Maeda, using an operational calculus instead of integral representations, are restricted to certain invariant subspaces, and results analogous to some of C. Ionescu Tulcea's are among those obtained. An important theorem gives conditions for a minimal dilation of a continuous linear mapping. (Author)

Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1966
Accession Number
AD0635658

Entities

People

  • Stephen Plafker

Organizations

  • University of Illinois Urbana–Champaign

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Calculus
  • Convolution Integrals
  • Hilbert Space
  • Integrals
  • Inverse Problems
  • Mathematical Analysis
  • Mathematics

Fields of Study

  • Mathematics

Readers

  • Graph Algorithms and Convex Optimization.
  • Military Engineering.

Technology Areas

  • Space