Zobrazeno 1 - 10
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pro vyhledávání: '"Marat V. Markin"'
Autor:
Marat V. Markin
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 2021 (2021)
We provide a characterization of the finite dimensionality of vector spaces in terms of the right-sided invertibility of linear operators on them.
Externí odkaz:
https://doaj.org/article/d909aed777d04d64b8da91ad90e4185b
Autor:
Marat V. Markin, Olivia B. Soghomonian
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 2021 (2021)
“The method in the present paper is abstract and is phrased in terms of Banach spaces, linear operators, and so on. This has the advantage of greater simplicity in proof and greater generality in applications.” Jacob T. Schwartz
Externí odkaz:
https://doaj.org/article/f9084fa9a76744d6ae8de4629b73cd74
Autor:
Marat V. Markin
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 2018 (2018)
Given the abstract evolution equation y′(t)=Ay(t), t∈R, with scalar type spectral operator A in a complex Banach space, found are conditions necessary and sufficient for all weak solutions of the equation, which a priori need not be strongly diff
Externí odkaz:
https://doaj.org/article/c393cd1847284e679a7b302552766635
Autor:
Marat V. Markin
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 2018 (2018)
The results of three papers, in which the author inadvertently overlooks certain deficiencies in the descriptions of the Carleman classes of vectors, in particular the Gevrey classes, of a scalar type spectral operator in a complex Banach space estab
Externí odkaz:
https://doaj.org/article/91e08385d2c54a8192a346c948d957da
Autor:
Marat V. Markin, Edward S. Sichel
Publikováno v:
Mathematics, Vol 7, Iss 11, p 1004 (2019)
When finding an original proof to a known result describing expansive mappings on compact metric spaces as surjective isometries, we reveal that relaxing the condition of compactness to total boundedness preserves the isometry property and nearly tha
Externí odkaz:
https://doaj.org/article/de3da2a73b96451abe085c546b786918
Autor:
Marat V. Markin, Edward S. Sichel
Publikováno v:
Mathematics, Vol 7, Iss 10, p 903 (2019)
We give a simple, straightforward proof of the non-hypercyclicity of an arbitrary (bounded or not) normal operator A in a complex Hilbert space as well as of the collection e t A t ≥ 0 of its exponentials, which, under a certain condition on the sp
Externí odkaz:
https://doaj.org/article/363d9d920b824008b943385c98604c15
Autor:
Marat V. Markin
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 2004, Iss 60, Pp 3219-3235 (2004)
The Carleman classes of a scalar type spectral operator in a reflexive Banach space are characterized in terms of the operator's resolution of the identity. A theorem of the Paley-Wiener type is considered as an application.
Externí odkaz:
https://doaj.org/article/1fa79dcf71dc4fd9b696221ff9fad121
Autor:
Marat V. Markin
Publikováno v:
Abstract and Applied Analysis, Vol 2004, Iss 12, Pp 1007-1018 (2004)
In the class of scalar type spectral operators in a complex Banach space, a characterization of the generators of analytic C0-semigroups in terms of the analytic vectors of the operators is found.
Externí odkaz:
https://doaj.org/article/27d46d88a77443f9ad189b0aa6ac291a
Autor:
Marat V. Markin
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 2004, Iss 45, Pp 2401-2422 (2004)
Externí odkaz:
https://doaj.org/article/8cc172750b4a42159cdab5b8e4a31d06
Autor:
Marat V. Markin
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 32, Iss 9, Pp 555-563 (2002)
It is shown that the weak solutions of the evolution equation y′(t)=Ay(t), t∈[0,T) (0
Externí odkaz:
https://doaj.org/article/084f8a2bdbed4d70a4d6586ec7b8fe3a