Results 21 to 30 of about 694 (64)
Evolution semigroups for nonautonomous Cauchy problems
In this paper, we characterize wellposedness of nonautonomous, linear Cauchy problems on a Banach space X by the existence of certain evolution semigroups. Then, we use these generation results for evolution semigroups to derive wellposedness for nonautonomous Cauchy problems under some “concrete” conditions.
Gregor Nickel
wiley +1 more source
A bound for the Hilbert-Schmidt norm of generalized commutators of nonself-adjoint operators
Let A, à and B be bounded linear operators in a Hilbert space, and f (z) be a function regular on the convex hull of the union of the spectra of A and à . Let SN2 be the ideal of Hilbert-Schmidt operators.
M. Gil'
semanticscholar +1 more source
Iterative solution of unstable variational inequalities on approximately given sets
The convergence and the stability of the iterative regularization method for solving variational inequalities with bounded nonsmooth properly monotone (i.e., degenerate) operators in Banach spaces are studied. All the items of the inequality (i.e., the operator A, the “right hand side” f and the set of constraints Ω) are to be perturbed. The connection
Y. I. Alber, A. G. Kartsatos, E. Litsyn
wiley +1 more source
Bifurcation for the solutions of equations involving set valued mappings
This paper is devoted to a generalization of the bifurcation theorem of Karsnosel′skii and Rabinowitz to the set valued situation.
E. U. Tarafdar, H. B. Thompson
wiley +1 more source
On Hilbert-Schmidt compatibility
Guided by important examples of differential operators, we obtain sufficient conditions for Hilbert-Schmidt compatibility of operators and apply these conditions in spectral perturbation theory. Mathematics subject classification (2010): 47A55, 47B10.
D. Potapov, A. Skripka, F. Sukochev
semanticscholar +1 more source
A theorem on “localized” self‐adjointness of Shrödinger operators with ‐potentials
We prove a result which concludes the self‐adjointness of a Schrödinger operator from the self‐adjointness of the associated “localized” Schrödinger operators having ‐Potentials.
Hans L. Cycon
wiley +1 more source
Absolute continuity and hyponormal operators
Let T be a completely hyponormal operator, with the rectangular representation T = A + iB, on a separable Hilbert space. If 0 is not an eigenvalue of T* then T also has a polar factorization T = UP, with U unitary. It is known that A, B and U are all absolutely continuous operators.
C. R. Putnam
wiley +1 more source
Many parameter Hoelder perturbation of unbounded operators
If $u\mapsto A(u)$ is a $C^{0,\alpha}$-mapping, for $0< \alpha \le 1$, having as values unbounded self-adjoint operators with compact resolvents and common domain of definition, parametrized by $u$ in an (even infinite dimensional) space, then any ...
A. Frölicher+10 more
core +1 more source
Structure of the tree component in an area of riparian forest in the Piratini River Basin, Rio Grande do Sul, Brazil [PDF]
The vegetation studied belongs to the Pampa biome. The vegetation of this region is described as Open Arboreal Savanna because it presents a herb stratum and an arboreal stratum with a gallery forest.
Luciano Rodrigues Soares+1 more
doaj
Hyponormality of finite rank perturbations of normal operators
Let T be an arbitrary finite rank perturbation of a normal operator N acting on a separable, infinite dimensional, complex Hilbert space H . It is proved that the hyponormality and normality of T are equivalent.
I. Jung, Eun-young Lee, M. Seo
semanticscholar +1 more source