Results 331 to 340 of about 1,075,287 (378)

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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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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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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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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On resolvents of integral and partially integral operators

Siberian Mathematical Journal, 1992
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Strong Resolvent Convergence of Diffusion Operators

SIAM Journal on Mathematical Analysis, 1985
Summary: It is shown that differential operators arising from boundary value problems with eigenvalue parameter in the boundary condition occur as the limits, in the sense of a generalized notion of strong resolvent convergence, of families of Sturm-Liouville operators modeling heat flow in a rod, where the diffusion coefficient becomes arbitrarily ...
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The Resolvent of a Hermitian Operator on a Banach Space

Journal of the London Mathematical Society, 1983
On etudie une inegalite concernant la norme du resolvant d'un operateur hermitien sur un espace de ...
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Ergodicity and stability for (b, l)-regularized resolvent operator families

Annals of Functional Analysis, 2020
Lizhen Chen, Z. Fan, Fei Wang
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Approximate controllability for finite delay nonlocal neutral integro-differential equations using resolvent operator theory

, 2020
K. Jeet
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Operators with resolvent of bounded characteristic

Integral Equations and Operator Theory, 1983
The author proves that if T is a contraction on a Hilbert space, then the resolvent of T is of bounded characteristic on the open unit disc D in the complex plane, if and only if T is annihilated by a nonzero holomorphic function on D with infinitely differentiable boundary values.
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