Positivity preserving operators and one criterion of essential self-adjointness
β Scribed by M.A Perelmuter
- Publisher
- Elsevier Science
- Year
- 1981
- Tongue
- English
- Weight
- 608 KB
- Volume
- 82
- Category
- Article
- ISSN
- 0022-247X
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π SIMILAR VOLUMES
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
## Abstract We study the properties of essential selfβadjointness on __C__^β^~__c__~ (β^__N__^ ) and semigroup ultracontractivity of a class of singular second order elliptic operators equation image defined in __L__^2^ (β^__N__^ , __Ο__^β__a__ β__N__^ (__x__) __dx__) with Dirichlet boundary con