Pseudospectra and resolvent norm for example operators
Norm-Resolvent Estimates and Perforated Domains
... and norm. All operators in the following are assumed to be linear and we do not distinguish in notation between the norm on H and the operator norm in L(H) defined as kBk := sup kxk H =1 kBxk ...
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CiteSeerX — Spectra and Pseudospectra: The Behavior of Nonnormal Matrices and Operators
... Figure 3. Pseudospectra of SOR iteration matrix G for ǫ = 10 −15 (innermost curve), . . . , 10 −2 (outermost curve) along with the unit circle. All eigenvalues of the matrix are −1/2. literature via the 851 ...
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On a nonlocal problem for fractional differential equations via resolvent operators
... analytic resolvent method, and the uniform continuity of the resolvent, we discuss the existence of mild solutions for nonlocal fractional differential equations governed by a linear closed operator which ...
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Maximum-Norm Stability, Smoothing and Resolvent Estimates for Parabolic Finite Element Equations
... maximum- norm of spatially semidiscrete finite element approximations of a parabolic ...the resolvent of the corresponding discrete elliptic ...an example of the use of such resolvent ...
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Norm inequalities for composition of the Dirac and Green’s operators
... It is well known that any solutions of A-harmonic equations belong to WRH-class, see [–] for example. Hence, the WRH -class is a large set of differential forms. Theorem . Let u ∈ L s loc (M, ∧ ), l = , , ...
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Norm for Sums of Two Basic Elementary Operators
... following example which is a modification of that given by the authors Bachir and Segres 4, Example ...the norm x n n max n |x n | and let L be an infinite-dimensional Banach ...the norm, for ...
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Resolvent estimates of elliptic differential and finite element operators in pairs of function spaces
... new resolvent estimates of elliptic finite-element operators which are intended for use in applications of the finite-element method to parabolic initial boundary value prob- ...differential operators; ...
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Schrödinger operators on the half line: Resolvent expansions and the Fermi Golden Rule at threshold
... literature. Resolvent expan- sions of the type obtained here are typical for Schr¨odinger operators in odd dimensions, when the potential decays ...for example [1, ...on resolvent expansions ...
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Trace formulae and singular values of resolvent power differences of self-adjoint elliptic operators
... 1. Introduction Let Ω ⊂ R n be a bounded or unbounded domain with smooth compact boundary and let L be a formally symmetric second order elliptic differential expression with variable coefficients defined on Ω. As a ...
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Norm estimates for weighted composition operators on spaces of holomorphic functions
... for example, in the case of certain Toeplitz operators on Bergman spaces, or, more simply, certain rank-one operators of the form f 7→ ⟨ f, 1 ⟩ ...
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Essential norm of weighted composition operators on Bargmann-Fock spaces
... composition operators on Fock-type spaces have been studied by the authors of these papers [3], [19], [22], [23], and ...for example [4], [5], [6], [15], [17], [18], [28], and ...
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Norm equivalence and composition operators between Bloch/Lipschitz spaces of the ball
... 1 − | z | 2 p ∇ f (z) ≤ 2 p+1 C f R Ꮾ p . (3.12) The second statement in the lemma now follows from the above statement and an appli- cation of [9, Lemma 2] at z = 0. Next, we state and prove this section’s main result, ...
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Poles of Generalized Resolvent Operators
... Linear relations, or multi-valued linear operators, have proven a useful tool in many branches of operator theory. They arise naturally in the context of linear operators, as their formal inverse, adjoint ...
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Spectral estimates for resolvent differences of self-adjoint elliptic operators
... elliptic operators in Sections ...elliptic operators, this theorem yields a wide class of local and non-local boundary conditions for which there exists a self-adjoint realization in an H 2 -setting ...
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Spectral estimates for resolvent differences of self-adjoint elliptic operators
... elliptic operators in Sections ...elliptic operators, this theorem yields a wide class of local and non-local boundary conditions for which there exists a self-adjoint realization in an H 2 -setting ...
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Approximate controllability of fractional differential equations via resolvent operators
... a resolvent. Using the analytic resolvent method and the continuity of a resolvent in the uniform operator topology, we derive the existence and approximate controllability results of a fractional ...
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Norm-attaining composition operators on the Bloch spaces
... the norm-attaining composition operators on B and on B 0 ...its norm on X if there exists a function f ∈ X with norm 1 such that T = T f ...the norm of T ...
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Uniform Lorentz norm estimates for convolution operators
... Abstract Uniform endpoint Lorentz norm improving estimates for convolution operators with affine arclength measure supported on simple plane curves are established. The estimates hold for a wide class of ...
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Spectral asymptotics for resolvent differences of elliptic operators with δ and δ'-interactions on hypersurfaces
... Abstract. We consider self-adjoint realizations of a second-order el- liptic differential expression on R n with singular interactions of δ and δ 0 -type supported on a compact closed smooth hypersurface in R n . In our ...
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Spectral asymptotics for resolvent differences of elliptic operators with δ and δ'-interactions on hypersurfaces
... Abstract. We consider self-adjoint realizations of a second-order el- liptic differential expression on R n with singular interactions of δ and δ ′ -type supported on a compact closed smooth hypersurface in R n . In our ...
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