# Accession Number:

## AD0697062

# Title:

## RANGE-DOMAIN IMPLICATIONS FOR CONCAVE OPERATORS,

# Descriptive Note:

# Corporate Author:

## BOEING SCIENTIFIC RESEARCH LABS SEATTLE WASH MATHEMATICS RESEARCH LAB

# Personal Author(s):

# Report Date:

## 1969-10-01

# Pagination or Media Count:

## 28.0

# Abstract:

Let R and S denote linear spaces and MRarrowS an operator which is concave in some rather general sense. Sufficient conditions are derived such that an element u epsilon B included in R belongs to a certain set K included in R whenever Mu is contained in some given set C included in S. Results of an earlier paper on linear operators are generalized in different ways. For example, the set K may have empty interior. There is also given a generalization of the matrix class M of Fiedler and Ptak. Some examples are concerned with operators in the Hilbert Space l sub 2. Author

# Descriptors:

# Subject Categories:

- Theoretical Mathematics