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Unbounded Linear Operators

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Non-Archimedean Operator Theory

Part of the book series: SpringerBriefs in Mathematics ((BRIEFSMATH))

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Abstract

This chapter introduces and studies unbounded operators on a non-archimedean Baanach space \( \mathbb{X} \). Various properties of those operators will be discussed including their spectral theory. In this chapter, we mainly follow Diagana [13] and Diagana and Ramaroson [17].

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References

  1. T. Diagana, Non-archimedean Linear Operators and Applications (Nova Science Publishers, Inc., Huntington/New York, 2007)

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  2. T. Diagana, An Introduction to Classical and p-Adic Theory of Linear Operators and Applications (Nova Science Publishers, New York, 2006)

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  3. T. Diagana, F. Ramaroson, Spectral theory for finite rank perturbations of unbounded diagonal operators in non-archimedean Hilbert space, in Contemporary Matematics (American Mathematical Society, To Appear)

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  4. B. Diarra, Bounded linear operators on ultrametric Hilbert spaces. Afr Diaspora J. Math. 8(2), 173–181 (2009)

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Authors and Affiliations

  1. Department of Mathematics, Howard University, Washington, DC, USA

    Toka Diagana & François Ramaroson

Authors
  1. Toka Diagana
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  2. François Ramaroson
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Diagana, T., Ramaroson, F. (2016). Unbounded Linear Operators. In: Non-Archimedean Operator Theory. SpringerBriefs in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-319-27323-5_6

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