Sifting infinite - dimensional compacta by the Lusin sieve
Signals generated in memristive circuits
Signals generated in circuits that include nano-structured elements typically have strongly distinct characteristics, particularly the hysteretic distortion. This is due to memristance, which is one of the key electronic properties of nanostructured materials. In this article, we consider signals generated from a memrsitive circuit model. We demonstrate numerically that such signals can be efficiently represented in certain custom-designed nonorthogonal bases. The proposed method ensures that the...
Simboli di Operatori e Limite Classico della Funzione di Wigner
Similarity and compact perturbations of nest algebras.
Similarity of operators and geometry of eigenvector bundles.
Similarity to contraction and asymptotics of a class of infinite-dimensional discrete-time systems.
Similarity-preserving linear maps on B(X)
Let X be an infinite-dimensional Banach space, and B(X) the algebra of all bounded linear operators on X. Then ϕ: B(X) → B(X) is a bijective similarity-preserving linear map if and only if one of the following holds: (1) There exist a nonzero complex number c, an invertible bounded operator T in B(X) and a similarity-invariant linear functional h on B(X) with h(I) ≠ -c such that for all A ∈ B(X). (2) There exist a nonzero complex number c, an invertible bounded linear operator T: X* → X and a...
Simultaneous resolutions of the identity operator in normed spaces.
We construct in this paper some simultaneous projective resolutions of the identity operator which we later use to obtain certain new results on quasi-complementation property and Markushevich bases.
Simultaneous solutions of operator Sylvester equations
We consider simultaneous solutions of operator Sylvester equations (1 ≤ i ≤ k), where and are commuting k-tuples of bounded linear operators on Banach spaces and ℱ, respectively, and is a (compatible) k-tuple of bounded linear operators from ℱ to , and prove that if the joint Taylor spectra of and do not intersect, then this system of Sylvester equations has a unique simultaneous solution.
Single valued extension property and generalized Weyl’s theorem
Let be an operator acting on a Banach space , let and be respectively the spectrum and the B-Weyl spectrum of . We say that satisfies the generalized Weyl’s theorem if , where is the set of all isolated eigenvalues of . The first goal of this paper is to show that if is an operator of topological uniform descent and is an accumulation point of the point spectrum of then does not have the single valued extension property at , extending an earlier result of J. K. Finch and a...
Singlevaluedness of monotone operators on subspaces of GSG spaces
We extend Zajíček’s theorem from [Za] about points of singlevaluedness of monotone operators on Asplund spaces. Namely we prove that every monotone operator on a subspace of a Banach space containing densely a continuous image of an Asplund space (these spaces are called GSG spaces) is singlevalued on the whole space except a -cone supported set.
Singular evolution problems, regularization, and applications to physics, engineering, and biology
Singular higher order boundary value problems for ordinary differential equations.
Singular integral models for p-hyponormal operators and the Riemann-Hilbert problem
The purpose of this paper is to give singular integral models for p-hyponormal operators and apply them to the Riemann-Hilbert problem.
Singular integral operators on manifolds with a boundary.
Singular integral operators on Nakano spaces with weights having finite sets of discontinuities
In 1968, Gohberg and Krupnik found a Fredholm criterion for singular integral operators of the form aP + bQ, where a,b are piecewise continuous functions and P,Q are complementary projections associated to the Cauchy singular integral operator, acting on Lebesgue spaces over Lyapunov curves. We extend this result to the case of Nakano spaces (also known as variable Lebesgue spaces) with certain weights having finite sets of discontinuities on arbitrary Carleson curves.
Singular integral operators with Cauchy kernel in fractional spaces.
Singular integrals in weighted Lebesgue spaces with variable exponent.
Singular integrals on generalized Lipschitz and Hardy spaces
Singular integrals supported on the image of an analytic function.