Markov semigroups on \(C^*\)-bundles
DOI10.1016/0022-1236(89)90037-2zbMath0694.46049OpenAlexW2033715261MaRDI QIDQ909205
E. Brian Davies, Oscar S. Rothaus
Publication date: 1989
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0022-1236(89)90037-2
traceClifford algebrascompact Riemannian manifoldconnectionBochner LaplacianClifford bundlescomplete-positivity preservingcompletely positive vector bundlefinite-dimensional real \(C^*\)-algebraH-harmonic elementsHilbert space tensor productJordan spin algebranon-commutative theory of symmetric Markov semigroups and Dirichlet forms on vector bundlessymmetric (sub-)Markov semigroups of operators
Vector fields, frame fields in differential topology (57R25) Markov semigroups and applications to diffusion processes (47D07) Free probability and free operator algebras (46L54) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51) Structure theory for Jordan algebras (17C10)
Related Items
Cites Work
- Hypercontractivity and the Bakry-Emery criterion for compact Lie groups
- On the parabolic kernel of the Schrödinger operator
- The generators of positive semigroups
- Kato's inequality and the spectral distribution of Laplacians on compact Riemannian manifolds
- An inequality for Hilbert-Schmidt norm
- Notes on non-commutative integration
- Domination of semigroups and generalization of Kato's inequality
- Clifford modules
- L p Fourier Transforms on Locally Compact Unimodular Groups
- Lipschitz Continuity of Functions of Operators in the Schatten Classes
- Logarithmic Sobolev Inequalities
- Leavitt path algebras and direct limits
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item