On the representations of the $C^*$ -algebra of singular integral operators on a complex contour with discontinuous semi-almost periodic coefficients
- Авторлар: Baibulov I.V.1
-
Мекемелер:
- Saint Petersburg State University
- Шығарылым: Том 89, № 6 (2025)
- Беттер: 45-84
- Бөлім: Articles
- URL: https://ogarev-online.ru/1607-0046/article/view/358689
- DOI: https://doi.org/10.4213/im9665
- ID: 358689
Дәйексөз келтіру
Ашық рұқсат
Рұқсат берілді
Тек жазылушылар үшін
Аннотация
A $C^*$ -algebra generated by one-dimensional singular integral operators on an unbounded complex contour is studied. The coefficients are allowed to have jump
discontinuities at the contour points and stabilize to almost periodic functions
on each arc extending to infinity. All primitive ideals of this algebra are
listed.
discontinuities at the contour points and stabilize to almost periodic functions
on each arc extending to infinity. All primitive ideals of this algebra are
listed.
Авторлар туралы
Ilnur Baibulov
Saint Petersburg State University
Email: i_baibulov@mail.ru
without scientific degree, no status
Әдебиет тізімі
- D. Sarason, “Toeplitz operators with semi-almost periodic symbols”, Duke Math. J., 44:2 (1977), 357–364
- A. Böttcher, Yu. I. Karlovich, I. M. Spitkovsky, Convolution operators and factorization of almost periodic matrix functions, Oper. Theory Adv. Appl., 131, Birkhäuser Verlag, Basel, 2002, xii+462 pp.
- A. Böttcher, Yu. I. Karlovich, I. M. Spitkovsky, “The $C^*$-algebra of singular integral operators with semi-almost periodic coefficients”, J. Funct. Anal., 204:2 (2003), 445–484
- R. G. Douglas, Banach algebra techniques in operator theory, Pure Appl. Math., 49, Academic Press, New York–London, 1972, xvi+216 pp.
- A. Dynin, “Multivariable Wiener–Hopf operators. I. Representations”, Integral Equations Operator Theory, 9:4 (1986), 537–556
- D. P. Williams, Crossed products of $C^*$-algebras, Math. Surveys Monogr., 134, Amer. Math. Soc., Providence, RI, 2007, xvi+528 pp.
- H. O. Cordes, “On compactness of commutators of multiplications and convolutions, and boundedness of pseudodifferential operators”, J. Funct. Anal., 18:2 (1975), 115–131
- A. Dynin, “Inversion problem for singular integral operators: $C^*$-approach”, Proc. Nat. Acad. Sci. U.S.A., 75:10 (1978), 4668–4670
- V. Kasatkin, “On the spectrum of the algebra of singular integral operators with discontinuities in symbols in momenta and coordinates”, J. Math. Sci. (N.Y.), 172:4 (2011), 477–531
- A. Antonevich, A. Lebedev, Functional differential equations. I. $C^*$-theory, Pitman Monogr. Surveys Pure Appl. Math., 70, Longman Scientific & Technical, Harlow, 1994, viii+504 pp.
- R. J. Archbold, J. S. Spielberg, “Topologically free actions and ideals in discrete $C^*$-dynamical systems”, Proc. Edinburgh Math. Soc. (2), 37:1 (1994), 119–124
- H. Takai, “On a duality for crossed products of $C^*$-algebras”, J. Funct. Anal., 19:1 (1975), 25–39
Қосымша файлдар
