Displaying similar documents to “Functional calculus for a class of unbounded linear operators on some non-archimedean Banach spaces”

Spectral analysis for rank one perturbations of diagonal operators in non-archimedean Hilbert space

Toka Diagana, George D. McNeal (2009)

Commentationes Mathematicae Universitatis Carolinae

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The paper is concerned with the spectral analysis for the class of linear operators A = D λ + X Y in non-archimedean Hilbert space, where D λ is a diagonal operator and X Y is a rank one operator. The results of this paper turn out to be a generalization of those results obtained by Diarra.

Representation of bilinear forms in non-Archimedean Hilbert space by linear operators

Toka Diagana (2006)

Commentationes Mathematicae Universitatis Carolinae

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The paper considers representing symmetric, non-degenerate, bilinear forms on some non-Archimedean Hilbert spaces by linear operators. Namely, upon making some assumptions it will be shown that if φ is a symmetric, non-degenerate bilinear form on a non-Archimedean Hilbert space, then φ is representable by a unique self-adjoint (possibly unbounded) operator A .

Representation of bilinear forms in non-Archimedean Hilbert space by linear operators II

Dodzi Attimu, Toka Diagana (2007)

Commentationes Mathematicae Universitatis Carolinae

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The paper considers the representation of non-degenerate bilinear forms on the non-Archimedean Hilbert space 𝔼 ω × 𝔼 ω by linear operators. More precisely, upon making some suitable assumptions we prove that if ϕ is a non-degenerate bilinear form on 𝔼 ω × 𝔼 ω , then ϕ is representable by a unique linear operator A whose adjoint operator A * exists.

Spectral properties of a certain class of Carleman operators

S. M. Bahri (2007)

Archivum Mathematicum

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The object of the present work is to construct all the generalized spectral functions of a certain class of Carleman operators in the Hilbert space L 2 X , μ and establish the corresponding expansion theorems, when the deficiency indices are (1,1). This is done by constructing the generalized resolvents of A and then using the Stieltjes inversion formula.