Adjoints and the image of the ball (Q2701599)

From MaRDI portal





scientific article
Language Label Description Also known as
English
Adjoints and the image of the ball
scientific article

    Statements

    Adjoints and the image of the ball (English)
    0 references
    0 references
    19 February 2001
    0 references
    bounded operator
    0 references
    Hilbert spaces
    0 references
    adjoint
    0 references
    image of the unit ball
    0 references
    totally bounded
    0 references
    It is shown that a bounded operator between Hilbert spaces has an adjoint if and only if the image of the unit ball is located. This condition (which is a constructive one) replaces the stronger requirement that the image of the unit ball should be totally bounded.
    0 references

    Identifiers