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Your search keyword '"Unbounded operator"' showing total 8 results
Start Over "Unbounded operator" Publication Year Range More than 50 years ago Journal pacific journal of mathematics
8 results on '"Unbounded operator"'

2. Fixed points and stability for a sum of two operators in locally convex spaces

Author

Mohammed Nashed and George L. Cain

Subjects
Discrete mathematics, Unbounded operator, General Mathematics, Locally convex topological vector space, Fixed-point theorem, Spectral theorem, Operator theory, Kakutani fixed-point theorem, Brouwer fixed-point theorem, Fixed-point property, Mathematics
Abstract

Some fixed point theorems for a sum of two operators are proved, generalizing to locally convex spaces a fixed point theorem of M. A. Krasnoselskii, for a sum of a completely continuous and a contraction mapping, as well as some of its recent variants. A notion of stability of solutions of nonlinear operator equations in linear topological spaces is formulated in terms of specific topologies on the set of nonlinear operators, and a theorem on the stability of fixed points of a sum of two operators is given. As a byproduct, sufficient conditions for a mapping to be open or to be onto are obtained.

Published
1971

3. A spectral theory for a class of linear operators

Author

Gary K. Leaf

Subjects
Unbounded operator, Pure mathematics, Spectral theory, Transform theory, General Mathematics, Spectral theory of ordinary differential equations, Spectral theorem, Operator theory, Operator norm, Mathematics, Functional calculus
Published
1963

4. Projections in the space of bounded linear operators

Author

Robert Whitley and David R. Arterburn

Subjects
Unbounded operator, Discrete mathematics, General Mathematics, Bounded function, Finite-rank operator, Operator theory, Bounded inverse theorem, Operator norm, Operator space, Mathematics, Bounded operator
Published
1965

5. Closed linear operators and associated continuous linear opeators

Author

Seymour Goldberg

Subjects
Unbounded operator, 47.10, General Mathematics, Linear system, Mathematical analysis, Spectral theorem, Operator theory, System of linear equations, Coefficient matrix, Operator norm, Continuous linear operator, Mathematics
Published
1962

7. Extensions of a theorem of Loewner on integral operators

Author

Donald C. Benson

Subjects
Unbounded operator, Discrete mathematics, Pure mathematics, General Mathematics, Singular integral operators of convolution type, 44.00, Hilbert space, Operator theory, Fourier integral operator, Leibniz integral rule, symbols.namesake, Kelvin–Stokes theorem, symbols, Daniell integral, Mathematics
Published
1959

8. Semi-groups of scalar type operators in Banach spaces

Author

T. V. Panchapagesan

Subjects
Unbounded operator, Pure mathematics, Nuclear operator, Approximation property, General Mathematics, Mathematical analysis, Eberlein–Šmulian theorem, Banach manifold, Finite-rank operator, 47B40, Interpolation space, 47D05, Lp space, Mathematics
Published
1969

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