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On generalized Schrödinger semigroups

✍ Scribed by Batu Güneysu


Book ID
113710202
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
266 KB
Volume
262
Category
Article
ISSN
0022-1236

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## Abstract This paper is concerned with emptyness of the essential spectrum, or equivalently compactness of the semigroup, for perturbations of self‐adjoint operators that are bounded below (on an __L__^2^‐space). For perturbations by a (nonnegative) potential we obtain a simple criterion for com

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✍ J Glover; M Rao; H Sikic; R Song 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 527 KB

Suppose that \(X_{1}\) is the standard Brownian motion in \(R^{d}, d \geqslant 3\), that \(\rho \in H^{1}\left(R^{d}\right)\) is a bounded continuous function such that \(|\nabla \rho|^{2}\) belongs to the Kato class and \(\mu\) is a measure belonging to the Kato class. Let \(A_{t}^{[\rho]}\) be def