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The Structure of the Resolvent of Elliptic Pseudodifferential Operators

Journal of Functional Analysis, 2001
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Paul Loya
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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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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
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A Characterization of Periodic Resolvent Operators

Results in Mathematics, 1990
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Resolving requirements discovery in testing and operations

Journal of Lightwave Technology, 2004
We describe the results of an investigation into requirements discovery during testing and operations. Requirements discovery includes both new requirements and new knowledge regarding existing requirements. Analysis of anomaly reports shows that many of the anomalies that occur during these phases involve requirements discovery.
Robyn R. Lutz, Ines Carmen Mikulski
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Resolvent Tests for Similarity to a Normal Operator

Proceedings of the London Mathematical Society, 1999
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Benamara, Nour-Eddine, Nikolski, Nikolai
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ON THE RESOLVENT OPERATOR OF DYNAMIC DIRAC OPERATORS

2023
In this article, we investigate the resolvent of dynamic Dirac operators on unbounded time scales. For the resolvent of these operators, integral representations are obtained. Finally, a formula for the Titchmarsh–Weyl function is given.
Tuna, Hüseyin, Allahverdiev, Bilender P.   +1 more
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OPERATOR-VALUED PSEUDODIFFERENTIAL OPERATORS AND THE RESOLVENT OF A DEGENERATE ELLIPTIC OPERATOR

Mathematics of the USSR-Sbornik, 1984
Let Y be a smooth manifold with boundary X. Let A be an elliptic differential operator of order \(2\ell\) degenerated on X. The author constructs the parametrix for the Dirichlet problem using operator-valued pseudo-differential operators.
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Regularized Resolvent of Sums of Commuting Operators

Acta Mathematica Hungarica, 2001
For \(B_1\) and \(B_2\) two commuting linear (not necessarily bounded) operators on a Banach space, the question of when \((B_1-B_2)\) has a bounded inverse on \(X\) is of interest. For example, consider the abstract Cauchy problem \[ {{d}\over{dt}}u(t)= A(u(t))+ f(t) \qquad (0\leq t\leq T), \] where \(A\) is a linear operator on a Banach space \(W\), \
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