Results 161 to 170 of about 20,552 (179)
Some of the next articles are maybe not open access.
2011
The theory of elliptic problems is essentially based on their Fredholm property which determines solvability conditions and a well-defined index. The Fredholm property and index are preserved under small perturbations of the operators. The situation is quite different if the Fredholm property is not satisfied. A general theory of such problems does not
openaire +1 more source
The theory of elliptic problems is essentially based on their Fredholm property which determines solvability conditions and a well-defined index. The Fredholm property and index are preserved under small perturbations of the operators. The situation is quite different if the Fredholm property is not satisfied. A general theory of such problems does not
openaire +1 more source
Fredholm weighted composition operators
Integral Equations and Operator Theory, 1993For a compact Hausdorff space \(X\) and some functional space \(F(X)\) on \(X\) a weighted composition operator is defined as \(uC_ \varphi f(x):=u(x)f(\varphi (x))\), where \(\varphi: X\to X\) is an automorphism. The author obtains criteria for the operator \(uC_ \varphi: C(X)\to C(X)\) to be a Fredholm operator and finds that in the case when \(X ...
openaire +1 more source
Compact and Fredholm Operators
1993The operators in infinite dimensional spaces closest to operators in finite dimensional spaces are the compact operators, which will now be studied systematically. A large number of examples of compact operators are given in the exercises.
openaire +1 more source
Holomorphic Fredholm Operator Functions
1993The purpose of this chapter is to set down some facts from operator theory, functional analysis and complex analysis that will be frequently used in the main body of the book. We do not intend to present here the whole theory of Fredholm operator functions, because it would take a book itself.
openaire +1 more source