Results 101 to 110 of about 2,265 (192)

Hausdorff Convergence and Asymptotic Estimates of the Spectrum of a Perturbed Operator

Zeitschrift für Analysis und ihre Anwendungen, 2001
A family of self-adjoint compact operators A_{\epsilon} (\epsilon > 0) acting in Hilbert spaces \mathcal H_{\epsilon} is considered.
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Gromov–Hausdorff convergence of metric pairs and metric tuples

Differential Geometry and its Applications
We study the Gromov-Hausdorff convergence of metric pairs and metric tuples and prove the equivalence of different natural definitions of this concept. We also prove embedding, completeness and compactness theorems in this setting. Finally, we get a relative version of Fukaya's theorem about quotient spaces under Gromov--Hausdorff equivariant ...
Ana Almaraz Gómez, Mauricio Che
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A Generalized Topology Approach to Trajectory Convergence in Nonautonomous Evolution Equations With Monotone Operators

Abstract and Applied Analysis
This paper investigates the application of β-open sets to the convergence analysis of nonautonomous evolution equations governed by maximal monotone operators in Hilbert spaces. β-open sets are a class of generalized open sets introduced by Njåstad (1965)
Boushra Abbas
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Non-Hausdorff convergence spaces [PDF]

Pacific Journal of Mathematics, 1983
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On the rough hausdorff convergence

Sigma Journal of Engineering and Natural Sciences – Sigma Mühendislik ve Fen Bilimleri Dergisi, 2021
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Intrinsic Flat and Gromov-Hausdorff Convergence of Manifolds with Ricci Curvature Bounded Below. [PDF]

J Geom Anal, 2017
Matveev R, Portegies JW.
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Notes on Pointed Gromov-Hausdorff Convergence

, 2017
The present article addresses to everyone who starts working with (pointed) Gromov-Hausdorff convergence. In the major part, both Gromov-Hausdorff convergence of compact and of pointed metric spaces are introduced and investigated. Moreover, the relation of sublimits occurring with pointed Gromov-Hausdorff convergence and ultralimits is discussed.
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Lebesgue points for functions from generalized Sobolev classes Mpa(X) in the critical case

Журнал Белорусского государственного университета: Математика, информатика, 2019
Classical Lebesgue theorem states that for any integrable function almost every point (except the set of measure zero)  is a Lebesgue point. The set of the points that are not Lebesgue points is called an exceptional set.
Sergey A. Bondarev
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The Hausdorff metric and convergence in measure.

Michigan Mathematical Journal, 1974
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On manifolds with almost non-negative Ricci curvature and integrally-positive k th -scalar curvature. [PDF]

Math Ann
Cucinotta A, Mondino A.
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