|
|
|
|
|
Notes on generalized
boundary value problems in Banach spaces. II.
Infinite-dimensional extension theory
Richard Clark Brown |
|
Vol. 99 (1982), No. 2, 271–302
|
Abstract |
|
Let X, Y be Banach spaces and 𝒜 : X → Y , ℬ : Y ∗ → X∗ be linear relations. Suppose 𝒜 is a restriction of the adjoint (or preadjoint) ℬ∗ of ℬ and the codimension of G(𝒜) in G(ℬ∗) is not necessarily finite. Under certain hypotheses we can describe in computationally useful ways extensions 𝒞 of 𝒜 which are restrictions of ℬ∗ and their adjoints. The theory is applied to a number of examples and is a direct extension of a previous paper which mainly treated the finite dimensional case. |
Mathematical Subject Classification 2000
Primary: 47A05
Secondary: 34G10
|
Milestones
Received: 12 March 1980
Revised: 20 May 1981
Published: 1 April 1982
|
Authors |
| Richard Clark Brown | |
|
