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Singularly perturbed self-adjoint operators in scales of Hilbert spaces

✍ Scribed by S. Albeverio; S. Kuzhel’; L. Nizhnik


Publisher
Springer
Year
2007
Tongue
English
Weight
303 KB
Volume
59
Category
Article
ISSN
0041-5995

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📜 SIMILAR VOLUMES


On Form-Sum Approximations of Singularly
✍ Sergio Albeverio; Volodymyr Koshmanenko 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 227 KB

We discuss singular perturbations of a self-adjoint positive operator A in Hilbert space H formally given by A T =A+T, where T is a singular positive operator (singularity means that Ker T is dense in H). We prove the following result: if T is strongly singular with respect to A in the sense that Ke