Approximation numbers and approximation of the eigenvalues of integral operators
Let \(X=L_ 2[0,2\pi]\), and h(x,y) be a kernel generating an operator H in X. Then \(\partial h\) j/\(\partial y\) j defines an operator \(H_ j\) and \(\partial\) \(iH_ j/\partial x_ i\) is required to be a continuous operator. Finite rank operators are constructed such that their eigenvalues approximate the spectrum of H. Additionally, quantitative estimates of the approximation are also obtained.
quantitative estimates of the approximation
scientific article; zbMATH DE number 4048436
scientific article