Antieigenvectors of the generalized problem and an operator inequality complementary to Schwarz's inequality.
Paul, Kallol (2008)
Novi Sad Journal of Mathematics
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Displaying similar documents to “Some sharp inequalities for Dirac type operators.”
Antieigenvectors of the generalized problem and an operator inequality complementary to Schwarz's inequality.
On some shift invariant integral operators, univariate case
George A. Anastassiou, Heinz H. Gonska (1995)
Annales Polonici Mathematici
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In recent papers the authors studied global smoothness preservation by certain univariate and multivariate linear operators over compact domains. Here the domain is ℝ. A very general positive linear integral type operator is introduced through a convolution-like iteration of another general positive linear operator with a scaling type function. For it sufficient conditions are given for shift invariance, preservation of global smoothness, convergence to the unit with rates, shape preserving...
Hilbert-Schmidt operators vs. integrable systems of elliptic Calogero-Moser type III: The Heun case.
Ruijsenaars, Simon N.M. (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Ostrowski's type inequalities for continuous functions of selfadjoint operators on Hilbert spaces: a survey of recent results.
Dragomir, S.S. (2011)
Annals of Functional Analysis (AFA) [electronic only]
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Solution of some weight problems for the Riemann-Liouville and Weyl operators.
Meskhi, A. (1998)
Georgian Mathematical Journal
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On a symbol class of elliptic pseudodifferential operators
S. Pilipović, N. Teofanov (2002)
Bulletin, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiques
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Coercive inequalities on weighted Sobolev spaces
Agnieszka Kałamajska (1993)
Colloquium Mathematicae
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More on inequalities of Simpson type.
Liu, Zheng (2007)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Spectral properties of non-self-adjoint operators
Johannes Sjöstrand (2009)
Journées Équations aux dérivées partielles
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This text contains a slightly expanded version of my 6 hour mini-course at the PDE-meeting in Évian-les-Bains in June 2009. The first part gives some old and recent results on non-self-adjoint differential operators. The second part is devoted to recent results about Weyl distribution of eigenvalues of elliptic operators with small random perturbations. Part III, in collaboration with B. Helffer, gives explicit estimates in the Gearhardt-Prüss theorem for semi-groups.
Distances between composition operators.
Valentin Matache (2007)
Extracta Mathematicae
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Composition operators C induced by a selfmap φ of some set S are operators acting on a space consisting of functions on S by composition to the right with φ, that is Cf = f º φ. In this paper, we consider the Hilbert Hardy space H on the open unit disk and find exact formulas for distances ||C - C|| between composition operators. The selfmaps φ and ψ involved in those formulas are constant, inner, or analytic selfmaps of the unit disk fixing the origin.
Some quadratic integral inequalities of Opial type
Małgorzata Kuchta (1996)
Annales Polonici Mathematici
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We derive and investigate integral inequalities of Opial type: , where h ∈ H, I = (α,β) is any interval on the real line, H is a class of absolutely continuous functions h satisfying h(α) = 0 or h(β) = 0. Our method is a generalization of the method of [3]-[5]. Given the function r we determine the class of functions s for which quadratic integral inequalities of Opial type hold. Such classes have hitherto been described as the classes of solutions of a certain differential equation....