Toeplitz Operators with Horizontal Symbols Acting on the Poly-Fock Spaces
We describe the C⁎-algebra generated by the Toeplitz operators acting on each poly-Fock space of the complex plane C with the Gaussian measure, where the symbols are bounded functions depending only on x=Re z and have limit values at y=-∞ and y=∞. The C⁎ algebra generated with this kind of symbols...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2018-01-01
|
| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2018/8031259 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832557037753466880 |
|---|---|
| author | Armando Sánchez-Nungaray Carlos González-Flores Raquiel Rufino López-Martínez Jorge Luis Arroyo-Neri |
| author_facet | Armando Sánchez-Nungaray Carlos González-Flores Raquiel Rufino López-Martínez Jorge Luis Arroyo-Neri |
| author_sort | Armando Sánchez-Nungaray |
| collection | DOAJ |
| description | We describe the C⁎-algebra generated by the Toeplitz operators acting on each poly-Fock space of the complex plane C with the Gaussian measure, where the symbols are bounded functions depending only on x=Re z and have limit values at y=-∞ and y=∞. The C⁎ algebra generated with this kind of symbols is isomorphic to the C⁎-algebra functions on extended reals with values on the matrices of dimension n×n, and the limits at y=-∞ and y=∞ are scalar multiples of the identity matrix. |
| format | Article |
| id | doaj-art-8bb987ef82bf418aaf764f5056c948d1 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-8bb987ef82bf418aaf764f5056c948d12025-02-03T05:43:50ZengWileyJournal of Function Spaces2314-88962314-88882018-01-01201810.1155/2018/80312598031259Toeplitz Operators with Horizontal Symbols Acting on the Poly-Fock SpacesArmando Sánchez-Nungaray0Carlos González-Flores1Raquiel Rufino López-Martínez2Jorge Luis Arroyo-Neri3Universidad Veracruzana, Facultad de Matemáticas, Lomas del Estadio S/N, 91000 Veracruz, MexicoInstituto Politécnico Nacional, Escuela Superior de Ingeniería Mecánica y Eléctrica, Unidad Profesional Adolfo López Mateos, Av. Instituto Politécnico Nacional s/n, Col. Zacatenco, Del. Gustavo A. Madero, 07738 Ciudad de México, MexicoUniversidad Veracruzana, Facultad de Matemáticas, Lomas del Estadio S/N, 91000 Veracruz, MexicoUniversidad Veracruzana, Facultad de Matemáticas, Lomas del Estadio S/N, 91000 Veracruz, MexicoWe describe the C⁎-algebra generated by the Toeplitz operators acting on each poly-Fock space of the complex plane C with the Gaussian measure, where the symbols are bounded functions depending only on x=Re z and have limit values at y=-∞ and y=∞. The C⁎ algebra generated with this kind of symbols is isomorphic to the C⁎-algebra functions on extended reals with values on the matrices of dimension n×n, and the limits at y=-∞ and y=∞ are scalar multiples of the identity matrix.http://dx.doi.org/10.1155/2018/8031259 |
| spellingShingle | Armando Sánchez-Nungaray Carlos González-Flores Raquiel Rufino López-Martínez Jorge Luis Arroyo-Neri Toeplitz Operators with Horizontal Symbols Acting on the Poly-Fock Spaces Journal of Function Spaces |
| title | Toeplitz Operators with Horizontal Symbols Acting on the Poly-Fock Spaces |
| title_full | Toeplitz Operators with Horizontal Symbols Acting on the Poly-Fock Spaces |
| title_fullStr | Toeplitz Operators with Horizontal Symbols Acting on the Poly-Fock Spaces |
| title_full_unstemmed | Toeplitz Operators with Horizontal Symbols Acting on the Poly-Fock Spaces |
| title_short | Toeplitz Operators with Horizontal Symbols Acting on the Poly-Fock Spaces |
| title_sort | toeplitz operators with horizontal symbols acting on the poly fock spaces |
| url | http://dx.doi.org/10.1155/2018/8031259 |
| work_keys_str_mv | AT armandosancheznungaray toeplitzoperatorswithhorizontalsymbolsactingonthepolyfockspaces AT carlosgonzalezflores toeplitzoperatorswithhorizontalsymbolsactingonthepolyfockspaces AT raquielrufinolopezmartinez toeplitzoperatorswithhorizontalsymbolsactingonthepolyfockspaces AT jorgeluisarroyoneri toeplitzoperatorswithhorizontalsymbolsactingonthepolyfockspaces |