Zobrazeno 1 - 10
of 104
pro vyhledávání: '"Jan Hamhalter"'
Autor:
Jan Hamhalter, Ekaterina Turilova
Publikováno v:
Lobachevskii Journal of Mathematics. 43:1641-1645
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0c931043f6ac3c04c5360e447343effd
https://doi.org/10.1134/s1995080222100146
https://doi.org/10.1134/s1995080222100146
Autor:
Jan Hamhalter
Publikováno v:
Linear Algebra and its Applications. 642:139-159
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c75d731bbbb03891e0840450e728e666
https://doi.org/10.1016/j.laa.2022.02.025
https://doi.org/10.1016/j.laa.2022.02.025
Publikováno v:
Digibug. Repositorio Institucional de la Universidad de Granada
instname
instname
Acknowledgements The first author was supported by the project OPVVV CAAS CZ.02.1.01/0.0/0.0/16 019/0000778. Third author partially supported by MCIN / AEI / 10. 13039 / 501100011033 / FEDER “Una manera de hacer Europa” project no. PGC2018-093332
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3febf710d8a05a822af94c234192a456
https://doi.org/10.1080/03081087.2022.2049187
https://doi.org/10.1080/03081087.2022.2049187
Autor:
Ekaterina Turilova, Jan Hamhalter
Publikováno v:
Lobachevskii Journal of Mathematics. 42:2325-2332
We study the poset of partial isometries in $$C^{\ast}$$ -algebras endowed with the $$\ast$$ -order and $$\ast$$ -orthogonality. We show that this structure is a complete Jordan invariant for $$AW^{\ast}$$ -algebras. We prove that partial isometries
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::63ab26ef609c999caf882254224426bd
https://doi.org/10.1134/s1995080221100085
https://doi.org/10.1134/s1995080221100085
Autor:
Jan Hamhalter
Publikováno v:
Journal of Mathematical Analysis and Applications. 523:127044
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7f824f20d12ee431237fe3a4861c0360
https://doi.org/10.1016/j.jmaa.2023.127044
https://doi.org/10.1016/j.jmaa.2023.127044
Autor:
Jan Hamhalter, Ekaterina Turilova
Publikováno v:
Proceedings of the Steklov Institute of Mathematics. 313:258-262
We initiate the study of the spectral order on Jordan triples. The order given on the tripotents is extended to the spectral order on the triples. We show that Jordan triples equipped with the spectral order are not lattices but preserve the Olson
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4dd1a7c27e1a779b08b60fc6e4eb369e
https://doi.org/10.1134/s0081543821020231
https://doi.org/10.1134/s0081543821020231
Autor:
Jan Hamhalter, Ekaterina Turilova
Publikováno v:
Trudy Matematicheskogo Instituta imeni V.A. Steklova. 313:275-279
Вводится понятие спектрального порядка на системах йордановых троек. Порядок, заданный на трипотентах, расширяется до спектрального по
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8b3a65ad75bc83aa8e9a0d2b4f385a07
https://doi.org/10.4213/tm4175
https://doi.org/10.4213/tm4175
Autor:
Jan Hamhalter, Ekaterina Turilova
Publikováno v:
Lobachevskii Journal of Mathematics. 41:2320-2325
In this note we apply noncommutative versions of Lyapunov convexity theorem to obtaning new results in comparison theory of states and functional on von Neumann algebras and $$JBW^{\ast}$$ triples. We show that in many cases the sets of projections o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6919031aaa46cf7df6f317ba5b45a8c0
https://doi.org/10.1134/s1995080220120148
https://doi.org/10.1134/s1995080220120148
Publikováno v:
Transactions of the American Mathematical Society
Transactions of the American Mathematical Society, American Mathematical Society, 2021, 374 (2), pp.1327-1350. ⟨10.1090/tran/8227⟩
Transactions of the American Mathematical Society, American Mathematical Society, 2021, 374 (2), pp.1327-1350. ⟨10.1090/tran/8227⟩
We prove that, given a constant $K> 2$ and a bounded linear operator $T$ from a JB$^*$-triple $E$ into a complex Hilbert space $H$, there exists a norm-one functional $\psi\in E^*$ satisfying $$\|T(x)\| \leq K \, \|T\| \, \|x\|_{\psi},$$ for all $x\i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::96d58474f8043b327435b1379ec39e01
https://doi.org/10.1090/tran/8227
https://doi.org/10.1090/tran/8227
Autor:
Ekaterina Turilova, Jan Hamhalter
Publikováno v:
Lobachevskii Journal of Mathematics. 41:661-665
We show that a normal functional $$\varphi$$ on a $$JBW^{\ast}$$ triple induces, via Gelfand–Naimark–Segal like construction, a complete inner product space if and only if $$\varphi$$ is a finite convex combination of extreme points from the pred
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::753425a7a6a0a3d82e1100ece9b3c513
https://doi.org/10.1134/s1995080220040277
https://doi.org/10.1134/s1995080220040277