Sökning: "Banach couple"

Hittade 5 avhandlingar innehållade orden Banach couple.

  1. 1. Interpolation of Subcouples, New Results and Applications

    Författare :Peter Sunehag; Sten Kaijser; Natan Krugljak; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mathematical analysis; Interpolation; Banach couple; Banach space Banach algebra; subcouple; quotient couple; Matematisk analys; Mathematical analysis; Analys;

    Sammanfattning : Suppose that X and Y are Banach couples and suppose that there is a bounded linear couple map Q from Y to X which has the property that Q restricted to the endpoint spaces is injective and the images of the endpointspaces of Y are closed in the endpoint spaces of X, then we say that Y is a subcouple of X. If F is an interpolation functor we want to know how F(Y) is related to F(X). LÄS MER

  3. 2. Interpolation of Hilbert spaces

    Författare :Yacin Ameur; Frank Hansen; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Interpolation; Hilbert space; K-functional; K-monotonicity; Calderon couple; Pick function; matrix monotone function; K_2-functional; Löwner s and Donoghue s theorems.; MATEMATIK; MATHEMATICS; MATEMATIK; Mathematics; Matematik;

    Sammanfattning : (i) We prove that intermediate Banach spaces A, B with respect to arbitrary Hilbert couples H, K are exact interpolation iff they are exact K-monotonic, i.e. the condition f0∊A and the inequality K(t,g0;K)≤K(t,f0;H), t>0 imply g0∊B and ||g0||B≤||f0||A (K is Peetre's K-functional). LÄS MER

  4. 3. Optimal Decomposition in Real Interpolation and Duality in Convex Analysis

    Författare :Japhet Niyobuhungiro; Natan Kruglyak; Irina Asekritova; Fernando Cobos; Linköpings universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES;

    Sammanfattning : This thesis is devoted to the study of mathematical properties of exact minimizers for the K–,L–, and E– functionals of the theory of real interpolation. Recently exact minimizers for these functionals have appeared in important results in image processing. LÄS MER

  5. 4. Taut Strings and Real Interpolation

    Författare :Eric Setterqvist; Natan Kruglyak; Irina Asekritova; Javier Soria; Linköpings universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES;

    Sammanfattning : The taut string problem concerns finding the function with the shortest graph length, i.e. the taut string, in a certain set  of continuous piecewise linear functions. It has appeared in a broad range of applications including statistics, image processing and economics. LÄS MER

  7. 5. Exact Minimizers in Real Interpolation : Characterization and Appliations

    Författare :Japhet Niyobuhungiro; Natan Kruglyak; Irina Asekritova; Fredrik Berntsson; Froduald Minani; Luboš Pick; Linköpings universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES;

    Sammanfattning : The main idea of the thesis is to develop new connections between the theory of real interpolation and applications. Near and exact minimizers for E–, K– and L–functionals of the theory of real interpolation are very important in applications connected to regularization of inverse problems such as image processing. LÄS MER