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Volumn 4, Issue 1, 1998, Pages 73-90

Remarks on resolvent positive operators and their perturbation

Author keywords

Asynchronous exponential growth; Balanced exponential growth; Growth bounds; Integrated semigroups; Positive perturbation; Resolvent outputs; Resolvent positive operators; Semigroups; Spectral bound

Indexed keywords


EID: 0032352740     PISSN: 10780947     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (31)

References (35)
  • 1
    • 51649147034 scopus 로고
    • Vector-valued Laplace transforms and Cauchy problems
    • W. Arendt, Vector-valued Laplace transforms and Cauchy problems, Israel J. Math. 59 (1987), 327-351.
    • (1987) Israel J. Math. , vol.59 , pp. 327-351
    • Arendt, W.1
  • 2
    • 84960611544 scopus 로고
    • Resolvent positive operators
    • W. Arendt, Resolvent positive operators, Proc. London Math. Soc. 54 (1987), 321-349.
    • (1987) Proc. London Math. Soc. , vol.54 , pp. 321-349
    • Arendt, W.1
  • 3
    • 3042969787 scopus 로고
    • Vector-valued versions of some representation theorems in real analysis
    • (eds. K.D. Bierstedt, A. Pietsch, W.M. Ruess, D. Vogt), Marcel Dekker, New York
    • W. Arendt, Vector-valued versions of some representation theorems in real analysis, in "Functional Analysis" (eds. K.D. Bierstedt, A. Pietsch, W.M. Ruess, D. Vogt), Marcel Dekker, New York, 1994.
    • (1994) Functional Analysis
    • Arendt, W.1
  • 4
    • 0010003067 scopus 로고
    • Spectrum and growth of positive semigroups
    • (eds. G. Ferreyra, G.R. Goldstein, F. Neubrander), Marcel Dekker, New York
    • W. Arendt, Spectrum and growth of positive semigroups, in "Evolution Equations" (eds. G. Ferreyra, G.R. Goldstein, F. Neubrander), Marcel Dekker, New York, 1994.
    • (1994) Evolution Equations
    • Arendt, W.1
  • 5
    • 3042928021 scopus 로고
    • Principal eigenvalues and perturbations
    • (eds. C.B. Huijsmans, M.A. Kaashoek, W.A.J. Luxemberg, B. de Pagter), Birkhäuser, Boston
    • W. Arendt and C.J.K. Batty, Principal eigenvalues and perturbations, in "Operator Theory in Function Spaces and Banach Lattices" (eds. C.B. Huijsmans, M.A. Kaashoek, W.A.J. Luxemberg, B. de Pagter), Birkhäuser, Boston, 1995.
    • (1995) Operator Theory in Function Spaces and Banach Lattices
    • Arendt, W.1    Batty, C.J.K.2
  • 6
    • 0001423998 scopus 로고
    • Irreducible compact operators
    • B. de Pagter, Irreducible compact operators, Math. Z. 192 (1986), 149-153.
    • (1986) Math. Z. , vol.192 , pp. 149-153
    • De Pagter, B.1
  • 7
    • 3042932634 scopus 로고
    • Ordered Banach spaces
    • (eds. Ph. Clément, H.J.A.M. Heijmans, S. Angenent, C.J. van Duijn, B. de Pagter), North Holland, Amsterdam
    • B. de Pagter, Ordered Banach spaces, in "One-Parameter Semigroups" (eds. Ph. Clément, H.J.A.M. Heijmans, S. Angenent, C.J. van Duijn, B. de Pagter), North Holland, Amsterdam, 1987.
    • (1987) One-Parameter Semigroups
    • De Pagter, B.1
  • 9
    • 0013407747 scopus 로고
    • Compact and quasi-compact semigroups
    • (ed. R. Nagel), Springer, New York
    • G. Greiner, Compact and quasi-compact semigroups, in "One-parameter Semigroups of Positive operators" (ed. R. Nagel), Springer, New York, 1986.
    • (1986) One-parameter Semigroups of Positive Operators
    • Greiner, G.1
  • 10
    • 0000695762 scopus 로고
    • Spectral theory of positive semigroups on Banach lattices
    • (ed. R. Nagel), Springer, New York
    • G. Greiner, Spectral theory of positive semigroups on Banach lattices, in "One-parameter Semigroups of Positive operators" (ed. R. Nagel), Springer, New York, 1986.
    • (1986) One-parameter Semigroups of Positive Operators
    • Greiner, G.1
  • 11
  • 13
    • 0000764850 scopus 로고
    • On the spectral bound of the generator of semigroups of positive operators
    • G. Greiner, J. Voigt, and M. Wolff, On the spectral bound of the generator of semigroups of positive operators, J. Operator Th. 5 (1981), 245-256.
    • (1981) J. Operator Th. , vol.5 , pp. 245-256
    • Greiner, G.1    Voigt, J.2    Wolff, M.3
  • 14
    • 0006699470 scopus 로고
    • Perron-Frobenius theory for positive semigroups
    • (eds. Ph. Clément, H.J.A.M. Heijmans, S. Angenent, C.J. van Duijn, B. de Pagter), North Holland, Amsterdam
    • H.J.A.M. Heijmans, Perron-Frobenius theory for positive semigroups, in "One-Parameter Semigroups" (eds. Ph. Clément, H.J.A.M. Heijmans, S. Angenent, C.J. van Duijn, B. de Pagter), North Holland, Amsterdam, 1987.
    • (1987) One-Parameter Semigroups
    • Heijmans, H.J.A.M.1
  • 15
    • 0040864460 scopus 로고
    • Two examples from structured population dynamics
    • (eds. Ph. Clément, H.J.A.M. Heijmans, S. Angenent, C.J. van Duijn, B. de Pagter), North Holland, Amsterdam
    • H.J.A.M. Heijmans, Two examples from structured population dynamics, in "One-Parameter Semigroups" (eds. Ph. Clément, H.J.A.M. Heijmans, S. Angenent, C.J. van Duijn, B. de Pagter), North Holland, Amsterdam, 1987.
    • (1987) One-Parameter Semigroups
    • Heijmans, H.J.A.M.1
  • 16
    • 0039678389 scopus 로고
    • Some results from spectral theory
    • (eds. Ph. Clément, H.J.A.M. Heijmans, S. Angenent, C.J. van Duijn, B. de Pagter), North Holland, Amsterdam
    • H.J.A.M. Heijmans, Some results from spectral theory, in "One-Parameter Semigroups" (eds. Ph. Clément, H.J.A.M. Heijmans, S. Angenent, C.J. van Duijn, B. de Pagter), North Holland, Amsterdam, 1987.
    • (1987) One-Parameter Semigroups
    • Heijmans, H.J.A.M.1
  • 17
    • 0040864462 scopus 로고
    • Asymptotic behavior
    • (eds. Ph. Clément, H.J.A.M. Heijmans, S. Angenent, C.J. van Duijn, B. de Pagter), North Holland, Amsterdam
    • H.J.A.M. Heijmans and B. de Pagter, Asymptotic behavior, in "One-Parameter Semigroups" (eds. Ph. Clément, H.J.A.M. Heijmans, S. Angenent, C.J. van Duijn, B. de Pagter), North Holland, Amsterdam, 1987.
    • (1987) One-Parameter Semigroups
    • Heijmans, H.J.A.M.1    De Pagter, B.2
  • 20
    • 0001622782 scopus 로고
    • Superconvexity of the spectral radius, and convexity of the spectral bound and the type
    • T. Kato, Superconvexity of the spectral radius, and convexity of the spectral bound and the type, Math. Z. 180 (1982), 265-273.
    • (1982) Math. Z. , vol.180 , pp. 265-273
    • Kato, T.1
  • 21
    • 84972562394 scopus 로고
    • Integrated semigroups and their applications to the abstract Cauchy problem
    • F. Neubrander, Integrated semigroups and their applications to the abstract Cauchy problem, Pac. J. Math. 135 (1988), 111-155.
    • (1988) Pac. J. Math. , vol.135 , pp. 111-155
    • Neubrander, F.1
  • 22
    • 0000984231 scopus 로고
    • Eigenvectors of nonlinear positive operators and the linear Krein-Rutman theorem
    • (eds. E. Fadell and G. Fournier), Springer, New York
    • R.D. Nussbaum, Eigenvectors of nonlinear positive operators and the linear Krein-Rutman theorem, in "Fixed Point Theory" (eds. E. Fadell and G. Fournier), Springer, New York, 1981.
    • (1981) Fixed Point Theory
    • Nussbaum, R.D.1
  • 23
    • 0001247316 scopus 로고
    • Positive operators and elliptic eigenvalue problems
    • R.D. Nussbaum, Positive operators and elliptic eigenvalue problems, Math. Z. 186 (1984), 247-264.
    • (1984) Math. Z. , vol.186 , pp. 247-264
    • Nussbaum, R.D.1
  • 31
    • 0030563169 scopus 로고    scopus 로고
    • Inequality of spectral bound and growth bound for positive semigroups in rearrangement invariant Banach function spaces
    • to appear
    • J.M.A.M. van Neerven, Inequality of spectral bound and growth bound for positive semigroups in rearrangement invariant Banach function spaces, Arch. Math. (to appear).
    • Arch. Math.
    • Van Neerven, J.M.A.M.1
  • 32
    • 51249172768 scopus 로고
    • 0-semigroups on AL-space
    • 0-semigroups on AL-space, Semigroup Forum 38 (1989), 263-266.
    • (1989) Semigroup Forum , vol.38 , pp. 263-266
    • Voigt, J.1
  • 33
    • 84966207881 scopus 로고
    • An operator-theoretic formulation of asynchronous exponential growth
    • G.F. Webb, An operator-theoretic formulation of asynchronous exponential growth, Trans. AMS 303 (1987), 751-763.
    • (1987) Trans. AMS , vol.303 , pp. 751-763
    • Webb, G.F.1
  • 34
    • 3043006952 scopus 로고
    • 0-semigroups of operators
    • (eds. G.R. Goldstein and J.A. Goldstein), Kluwer Academic Publishers
    • 0-semigroups of operators, Semigroups of Linear Operators and Applications (eds. G.R. Goldstein and J.A. Goldstein), Kluwer Academic Publishers, 1993.
    • (1993) Semigroups of Linear Operators and Applications
    • Webb, G.F.1
  • 35
    • 21844514432 scopus 로고
    • p spaces
    • p spaces, Proc. AMS 123 (1995), 3089-3094.
    • (1995) Proc. AMS , vol.123 , pp. 3089-3094
    • Weis, L.1


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