Please use this identifier to cite or link to this item: http://prr.hec.gov.pk/jspui/handle/123456789/2050
Title: Müntz Space Embeddings of Schatten-Von Neumann Class
Authors: Noor, Sahibzada Waleed
Keywords: Natural Sciences
Mathematics
General principles of mathematics
Algebra
Arithmetic
Topology
Analysis
Geometry
Numerical analysis
Probabilities & applied mathematics
Issue Date: 2007
Publisher: GC University Lahore, Pakistan
Abstract: This thesis contains results about the embeddings of M ̈ untz spaces in the Hilbert space scenario and its applications to composition operators on M ̈ untz spaces. In the main, we shall be concerned with the embedding M Λ 2 ⊂ L 2 (μ), where the Hilbert- M ̈ untz space M Λ 2 is the closed linear span of the monomials x λ n in L 2 ([0, 1]) and μ is a finite Borel measure on [0, 1]. After gathering together the mathematical preliminaries required for this work in Chapter 1, we shall use the notion of a sublinear measure introduced by I. Chal- endar, E. Fricain and D. Timotin [8] to investigate the properties of boundedness, compactness and belonging to Schatten-von Neumann ideals of these Hilbert space embeddings. This will be the content of Chapters 2 and 3. In Chapter 4, we give ex- amples of sublinear measures for bounded and compact embeddings with interesting properties. Finally, in Chapter 5 the general embedding theory is applied to initiate the study of composition operators on M Λ 2 .
URI:  http://prr.hec.gov.pk/jspui/handle/123456789//2050
Appears in Collections:PhD Thesis of All Public / Private Sector Universities / DAIs.

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