The maximal subspace for generation of (a,k)-regularized families
Let A be a linear operator in a Banach space X. We define a subspace of X and a norm such that the part of A in such subspace generates an (a, k)-regularized resolvent family. This space is maximal-unique in a suitable sense and nontrivial, under certain conditions on the kernels a and k. © 2012 Edg...
- Autores:
- Tipo de recurso:
- Fecha de publicación:
- 2012
- Institución:
- Universidad Tecnológica de Bolívar
- Repositorio:
- Repositorio Institucional UTB
- Idioma:
- eng
- OAI Identifier:
- oai:repositorio.utb.edu.co:20.500.12585/8763
- Acceso en línea:
- https://hdl.handle.net/20.500.12585/8763
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- openAccess
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- http://creativecommons.org/licenses/by-nc-nd/4.0/
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The maximal subspace for generation of (a,k)-regularized families |
| title |
The maximal subspace for generation of (a,k)-regularized families |
| spellingShingle |
The maximal subspace for generation of (a,k)-regularized families |
| title_short |
The maximal subspace for generation of (a,k)-regularized families |
| title_full |
The maximal subspace for generation of (a,k)-regularized families |
| title_fullStr |
The maximal subspace for generation of (a,k)-regularized families |
| title_full_unstemmed |
The maximal subspace for generation of (a,k)-regularized families |
| title_sort |
The maximal subspace for generation of (a,k)-regularized families |
| description |
Let A be a linear operator in a Banach space X. We define a subspace of X and a norm such that the part of A in such subspace generates an (a, k)-regularized resolvent family. This space is maximal-unique in a suitable sense and nontrivial, under certain conditions on the kernels a and k. © 2012 Edgardo Alvarez-Pardo and Carlos Lizama. |
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2012 |
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2012 |
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2019-11-06T19:05:20Z |
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2019-11-06T19:05:20Z |
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Abstract and Applied Analysis; Vol. 2012 |
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1085-3375 |
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https://hdl.handle.net/20.500.12585/8763 |
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10.1155/2012/683021 |
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Universidad Tecnológica de Bolívar |
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Repositorio UTB |
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Abstract and Applied Analysis; Vol. 2012 1085-3375 10.1155/2012/683021 Universidad Tecnológica de Bolívar Repositorio UTB |
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https://hdl.handle.net/20.500.12585/8763 |
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eng |
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eng |
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Atribución-NoComercial 4.0 Internacional |
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2019-11-06T19:05:20Z2019-11-06T19:05:20Z2012Abstract and Applied Analysis; Vol. 20121085-3375https://hdl.handle.net/20.500.12585/876310.1155/2012/683021Universidad Tecnológica de BolívarRepositorio UTBLet A be a linear operator in a Banach space X. We define a subspace of X and a norm such that the part of A in such subspace generates an (a, k)-regularized resolvent family. This space is maximal-unique in a suitable sense and nontrivial, under certain conditions on the kernels a and k. © 2012 Edgardo Alvarez-Pardo and Carlos Lizama.Recurso electrónicoapplication/pdfenghttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessAtribución-NoComercial 4.0 Internacionalhttp://purl.org/coar/access_right/c_abf2https://www2.scopus.com/inward/record.uri?eid=2-s2.0-84870024619&doi=10.1155%2f2012%2f683021&partnerID=40&md5=8b5756073fbaffb26423d0fcfa14603bScopus 56501378100Scopus 56036759500The maximal subspace for generation of (a,k)-regularized familiesinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArtículohttp://purl.org/coar/version/c_970fb48d4fbd8a85http://purl.org/coar/resource_type/c_2df8fbb1Alvarez-Pardo, E.Lizama, C.Kantorovitz, S., The Hille-Yosida space of an arbitrary operator (1988) Journal of Mathematical Analysis and Applications, 136 (1), pp. 107-111. , 10.1016/0022-247X(88)90118-7 972586 ZBL0675.47033Cioranescu, I., On the second order Cauchy problem associated with a linear operator (1991) Journal of Mathematical Analysis and Applications, 154 (1), pp. 238-242. , 10.1016/0022-247X(91)90083-C 1087971 ZBL0746.47023Lizama, C., On volterra equations associated with a linear operator (1993) Proceedings of the American Mathematical Society, 118 (4), pp. 1159-1166. , 10.2307/2160072 1152281 ZBL0781.45013Da Prato, G., Iannelli, M., Linear integro-differential equations in Banach spaces (1980) Rendiconti Del Seminario Matematico dell'Università di Padova, 62, pp. 207-219. , 582951 ZBL0451.45014Arendt, W., Batty, C.J.K., Hieber, M., Neubrander, F., (2001) Vector-Valued Laplace Transforms and Cauchy Problems, 96. , Basel, Switzerland Birkhäuser Monographs in Mathematics 1886588 ZBL1184.76191Lizama, C., Regularized solutions for abstract Volterra equations (2000) Journal of Mathematical Analysis and Applications, 243 (2), pp. 278-292. , 10.1006/jmaa.1999.6668 1741524 ZBL0952.45005Kostic, M., (a, k) -regularized C-resolvent families: Regularity and local properties (2009) Abstract and Applied Analysis, 2009, p. 27. , 858242 10. 1155/2009/858242Lizama, C., Miana, P.J., A Landau-Kolmogorov inequality for generators of families of bounded operators (2010) Journal of Mathematical Analysis and Applications, 371 (2), pp. 614-623. , 10.1016/j.jmaa.2010.05.065 2670138 ZBL1205.47018Lizama, C., Sánchez, J., On perturbation of K -regularized resolvent families (2003) Taiwanese Journal of Mathematics, 7 (2), pp. 217-227. , 1978011Lizama, C., Prado, H., On duality and spectral properties of (a, k) -regularized resolvents (2009) Proceedings of the Royal Society of Edinburgh A, 139 (3), pp. 505-517. , 10.1017/S0308210507000364 2506784Lizama, C., Prado, H., Rates of approximation and ergodic limits of regularized operator families (2003) Journal of Approximation Theory, 122 (1), pp. 42-61. , DOI 10.1016/S0021-9045(03)00040-6Shaw, S.-Y., Chen, J.-C., Asymptotic behavior of (a, k) -regularized resolvent families at zero (2006) Taiwanese Journal of Mathematics, 10 (2), pp. 531-542. , 2208283Shaw, S.-Y., Liu, H., Continuity of restrictions of (a, k) -regularized resolvent families to invariant subspaces (2009) Taiwanese Journal of Mathematics, 13 (2 A), pp. 535-544. , 2500005Kostić, M., (2011) Generalized Semigroups and Cosine Functions, 23. , Matematički Institut SANU, Belgrade Posebna Izdanja 2790849Lizama, C., N'Guérékata, G.M., Bounded mild solutions for semilinear integro differential equations in Banach spaces (2010) Integral Equations and Operator Theory, 68 (2), pp. 207-227. , 10.1007/s00020-010-1799-2 2721083 ZBL1209.45007Kellerman, H., Hieber, M., Integrated semigroups (1989) Journal of Functional Analysis, 84 (1), pp. 160-180. , 10.1016/0022-1236(89)90116-X 999494 ZBL0689.47014Arendt, W., Kellerman, H., (1987) Integrated Solutions of Volterra Integrodifferential Equations and Applications, 190. , Pitman Research Notes in MathematicalGorenflo, R., Mainardi, F., Carpinteri, A., Mainardiparaaaa, F., Fractional calculus: Integral and differential equations of fractional order (1997) Fractals and Fractional Calculus in Continuum Mechanics, pp. 223-276. , New York, NY, USA Springer 1611585Mainardi, F., Gorenflo, R., On Mittag-Leffler-type functions in fractional evolution processes (2000) Journal of Computational and Applied Mathematics, 118 (1-2), pp. 283-299. , 10.1016/S0377-0427(00)00294-6 1765955 ZBL0970.45005Gorenflo, R., Mainardi, F., (1997) Fractional Calculus: Integral and Differential Equations of Fractional Order, , New York, NY, USA Springer Fractals and Fractional Calculus in Continuum MechanicsHaubold, H.J., Mathai, A.M., Saxena, R.K., Mittag-Leffler functions and their applications (2011) Journal of Applied Mathematics, 2011, p. 51. , 298628 10.1155/2011/298628 2800586 ZBL1218.33021Chen, C., Li, M., Li, F.-B., On boundary values of fractional resolvent families (2011) Journal of Mathematical Analysis and Applications, 384 (2), pp. 453-467. , 10.1016/j.jmaa.2011.05.074 2825199 ZBL1230.47071Gradshteyn, I.S., Ryzhik, I.M., (2007) Table of Integrals, Series, and Products, , Elsevier 2360010http://purl.org/coar/resource_type/c_6501ORIGINALDOI10_11552012683021.pdfapplication/pdf1949262https://repositorio.utb.edu.co/bitstream/20.500.12585/8763/1/DOI10_11552012683021.pdf3cda3f23f6dc85d3e5a9c7e2acf69d5aMD51TEXTDOI10_11552012683021.pdf.txtDOI10_11552012683021.pdf.txtExtracted texttext/plain31233https://repositorio.utb.edu.co/bitstream/20.500.12585/8763/4/DOI10_11552012683021.pdf.txt3cdd9e5fdac3a255668fc9cd81646e84MD54THUMBNAILDOI10_11552012683021.pdf.jpgDOI10_11552012683021.pdf.jpgGenerated Thumbnailimage/jpeg69323https://repositorio.utb.edu.co/bitstream/20.500.12585/8763/5/DOI10_11552012683021.pdf.jpgf69f894622cb7f4049faa8ad7b952fabMD5520.500.12585/8763oai:repositorio.utb.edu.co:20.500.12585/87632020-10-23 04:49:01.89Repositorio Institucional UTBrepositorioutb@utb.edu.co |