Results 241 to 250 of about 29,973 (286)

Density-Functional Theory for the Dicke Hamiltonian. [PDF]

open access: yesJ Stat Phys
Bakkestuen VH   +3 more
europepmc   +1 more source

Generalized Resolvents of Symmetric Operators

Mathematical Notes, 2003
The Krein formula for generalized resolvents is one of the highlights of the theory of extensions of symmetric operators in Hilbert spaces. In the present paper, the authors give another more general version of such a formula for generalized \(U\)-resolvents of the isometric operator \(V\). Each boundary triple \(\Pi\) of \(\{V,V^{-1}\}\) generates the
Malamud, M. M., Mogilevskii, V. I.
openaire   +1 more source

Resolvent Positive Operators

Proceedings of the London Mathematical Society, 1987
Let A be a resolvent positive (linear) operator (i.e., \((\lambda -A)^{- 1}\) exists and is positive for \(\lambda >\lambda_ 0)\) on a Banach lattice E. Even though no norm condition on the resolvent is demanded, a theory is developed which - to a large extent - is analogous to the theory of positive \(C_ 0\)-semigroups.
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About a complex operator resolvent

Russian Universities Reports. Mathematics, 2022
A normed algebra of bounded linear complex operators acting in a complex normed space consisting of elements of the Cartesian square of a real Banach space is constructed. In this algebra, it is singled out a set of operators for each of which the real and imaginary parts commute with each other.
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On fractional resolvent operator functions

Semigroup Forum, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen, Chuang, Li, Miao
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The Resolvent Operator

2017
This chapter describes the construction of a resolvent operator using the Laplace transform of a parametrix for the heat kernel and a perturbative argument. In the equation (μ‎-L) R(μ‎) f = f, R(μ‎) is a right inverse for (μ‎-L). In Hölder spaces, these are the natural elliptic estimates for generalized Kimura diffusions.
Charles L. Epstein, Rafe Mazzeo
openaire   +1 more source

Resolvents of Monotone Operators

2011
Two quite useful single-valued, Lipschitz continuous operators can be associated with a monotone operator, namely its resolvent and its Yosida approximation. This chapter is devoted to the investigation of these operators. It exemplifies the tight interplay between firmly nonexpansive mappings and monotone operators.
Heinz H. Bauschke, Patrick L. Combettes
openaire   +1 more source

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