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  • 1
    Electronic Resource
    Electronic Resource
    Operators that are points of spectral continuity (1979)
    Springer
    Integral equations and operator theory 2 (1979), S. 174-198 
    Details
    ISSN: 1420-8989
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract In this paper a characterization is obtained of those bounded operators on a Hilbert space at which the spectrum is continuous, where the spectrum is considered as a function whose domain is the set of all operators with the norm topology and whose range is the set of compact subsets of the plane with the Hausdorff metric. Similar characterizations of the points of continuity of the Weyl spectrum, the spectral radius, and the essential spectral radius are also obtained.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01682733
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Operators that are points of spectral continuity, III (1983)
    Springer
    Integral equations and operator theory 6 (1983), S. 319-344 
    Details
    ISSN: 1420-8989
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract This paper continues the study, begun in [8] and [9], of certain set-valued maps defined on the algebra of bounded operators on a Hilbert space and associated with certain subsets of the spectrum of an operator. In particular, the points of continuity of the closure of the point spectrum of an operator are characterized as well as another subset of the spectrum that has manifested its importance in previous work.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01691901
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    Spectral properties of certain operators on Hardy spaces of planar regions (1987)
    Springer
    Integral equations and operator theory 10 (1987), S. 659-706 
    Details
    ISSN: 1420-8989
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract If G is any region in the complex plane and HP (G), 1≦p≦∞, denotes the Hardy space of analytic functions on G, then the principal aim of this paper is to present the spectral properties of the multiplication operators Mϕ defined on HP(G) by Mϕf=ϕf, where ϕ is any bounded analytic function on G. In order to do this, the speccial case in which G is bounded and ϕ(z)=z is studied in detail. In addition an operator called the truncation operator that is not a multilication operator and acts on the Hardy spaces of regions of the form ℂ/K for a compact set K is studied.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01195796
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    Paper (German National Licenses)
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  • 4
    Electronic Resource
    Electronic Resource
    On a conjecture of Carey and Pincus (1983)
    Springer
    Integral equations and operator theory 6 (1983), S. 158-159 
    Details
    ISSN: 1420-8989
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01691893
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    Paper (German National Licenses)
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  • 5
    Electronic Resource
    Electronic Resource
    Operators that are points of spectral continuity, II (1981)
    Springer
    Integral equations and operator theory 4 (1981), S. 459-503 
    Details
    ISSN: 1420-8989
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract This paper continues an earlier study of those bounded operators on a Hilbert space at which the spectrum is continuous, where the spectrum is considered as a function whose domain is the set of all bounded operators furnished with the norm topology and whose range is the collection of compact subsets of the complex plane furnished with the Hausdorff metric. In this paper the points of continuity of the essential spectrum, the approximate point spectrum, and certain related subsets of the spectrum are characterized.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01686497
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    Paper (German National Licenses)
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  • 6
    Book
    Book
    ¬A¬ Course in Functional Analysis (1985)
    Berlin u.a. :Springer,
    Details
    Title: ¬A¬ Course in Functional Analysis
    Author: Conway, John B.
    Publisher: Berlin u.a. :Springer,
    Year of publication: 1985
    Pages: 404 S.
    Type of Medium: Book
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    ZIB Catalog
    Zuse Institute Berlin get availability status
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