On Joint Functional Calculus for Ritt Operators View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2019-04

AUTHORS

Parasar Mohanty, Samya Kumar Ray

ABSTRACT

In this paper, we study joint functional calculus for commuting n-tuple of Ritt operators. We provide an equivalent characterisation of boundedness for joint functional calculus for Ritt operators on Lp-spaces, 1Ritt operators. We get our results by proving a suitable multivariable transfer principle between sectorial and Ritt operators as well as an appropriate joint dilation result in a general setting. More... »

PAGES

14

References to SciGraph publications

  • 2006. The H ∞Holomorphic Functional Calculus for Sectorial Operators — a Survey in PARTIAL DIFFERENTIAL EQUATIONS AND FUNCTIONAL ANALYSIS
  • 1998-03. The Similarity Problem for Bounded Analytic Semigroups on Hilbert Space in SEMIGROUP FORUM
  • 2014-01. Dilation of Ritt operators on Lp-spaces in ISRAEL JOURNAL OF MATHEMATICS
  • 1997-12. Polynomially unbounded product of two polynomially bounded operators in INTEGRAL EQUATIONS AND OPERATOR THEORY
  • 1998-09. Joint similarity problems and the generation of operator algebras with bounded length in INTEGRAL EQUATIONS AND OPERATOR THEORY
  • 2001-04. Operator–valued Fourier multiplier theorems and maximal $L_p$-regularity in MATHEMATISCHE ANNALEN
  • 2001-10. The $H^{\infty}-$calculus and sums of closed operators in MATHEMATISCHE ANNALEN
  • Identifiers

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    http://scigraph.springernature.com/pub.10.1007/s00020-019-2513-7

    DOI

    http://dx.doi.org/10.1007/s00020-019-2513-7

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1113042869


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