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A further generalization of the 𝒯𝒜d-density topology
-
Wojciech Wojdowski
Veröffentlicht/Copyright:
29. Oktober 2013
Abstract.
We present a further generalization of the 𝒯𝒜d-density topology introduced in
[Real Anal. Exchange 32 (2006/07), 349–358] as a generalization of the density
topology. We construct an ascending sequence 
of density topologies which leads to the 
-density topology including all previous
topologies. We examine several basic properties of the topologies.
Keywords: Density point; density topology
Received: 2012-07-16
Revised: 2012-12-16
Accepted: 2013-06-11
Published Online: 2013-10-29
Published in Print: 2013-12-01
© 2013 by Walter de Gruyter Berlin Boston
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Artikel in diesem Heft
- Masthead
- A characterization of pseudo-Einstein real hypersurfaces of a complex space form
- An application of Newton-type iterative method for the approximate implementation of Lavrentiev regularization
- Topological conjugation to uniformly piecewise linear transformations
- Strong convergence theorems for the approximation of fixed points of demicontinuous pseudocontractive mappings
- An estimate for the resolvent of a non-selfadjoint differential operator on an unbounded domain
- Nondifferentiable (Φ,ρ)-type I and generalized (Φ,ρ)-type I functions in nonsmooth vector optimization
- An optimal double inequality between logarithmic and generalized logarithmic means
- A further generalization of the 𝒯𝒜d-density topology
- Erratum Bloch varieties of higher-dimensional, periodic Schrödinger operators [J. Appl. Anal. 15 (2009), 33–46]
Artikel in diesem Heft
- Masthead
- A characterization of pseudo-Einstein real hypersurfaces of a complex space form
- An application of Newton-type iterative method for the approximate implementation of Lavrentiev regularization
- Topological conjugation to uniformly piecewise linear transformations
- Strong convergence theorems for the approximation of fixed points of demicontinuous pseudocontractive mappings
- An estimate for the resolvent of a non-selfadjoint differential operator on an unbounded domain
- Nondifferentiable (Φ,ρ)-type I and generalized (Φ,ρ)-type I functions in nonsmooth vector optimization
- An optimal double inequality between logarithmic and generalized logarithmic means
- A further generalization of the 𝒯𝒜d-density topology
- Erratum Bloch varieties of higher-dimensional, periodic Schrödinger operators [J. Appl. Anal. 15 (2009), 33–46]
