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

Toka Diagana; George D. McNeal

Displaying similar documents to “Spectral analysis for rank one perturbations of diagonal operators in non-archimedean Hilbert space”

Corrigendum to “Spectral analysis for rank one perturbations of diagonal operators in non-archimedean Hilbert space”

George D. McNeal, Toka Diagana (2009)

Commentationes Mathematicae Universitatis Carolinae

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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 $A$ .

Functional calculus for a class of unbounded linear operators on some non-archimedean Banach spaces

Dodzi Attimu, Toka Diagana (2009)

Commentationes Mathematicae Universitatis Carolinae

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This paper is mainly concerned with extensions of the so-called Vishik functional calculus for analytic bounded linear operators to a class of unbounded linear operators on $c_{0}$ . For that, our first task consists of introducing a new class of linear operators denoted $W (c_{0} (J, ω, 𝕂))$ and next we make extensive use of such a new class along with the concept of convergence in the sense of resolvents to construct a functional calculus for a large class of unbounded linear operators.