@article{oai:teapot.lib.ocha.ac.jp:00034965,
 author = {Sawashima, Ikuko and 沢島, 侑子},
 issue = {1},
 journal = {お茶の水女子大學自然科學報告},
 month = {Jul},
 note = {application/pdf, 紀要論文, Recently, S. Karlin has shown the existence of infinite eigenvalues for integral operators with extended totally positive kernels or more general kernels [1]. Each of these kernels must satisfy some conditions of differentiability. In the following note, we shall show that, applying the spectral properties of non-support operators obtained by the author [3], the above Karlin's results can be extended to the case of integral operators without differentiability conditions. For example, as one of these kernels, we can take a kernel K (x, s) of Schmidt type on (a, b)×(a, b) which is totally positive, continuous (not necessarily symmetric) and satisfies [numeberical] The author wishes to express her hearty thanks to Prof. S. Karlin for his valuable informations and remarks given her during his stay in Japan.},
 pages = {1--8},
 title = {An Application of Spectral Properties of Non-support Operators to a Theorem of S. Karlin},
 volume = {16},
 year = {1965}
}