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Kebolehbalikan Set Korovkin (Reversibility of Korovkin set)
Ahamad Shabir Saari1.
By using sequences of linear maps on C*-algebras, we consider sets known as Korovkin sets, i.e. sets of the form
{a ε Asd/фn(a) → фo(a), фn(a2)→ фo (a2) = фo (a)2} In this paper we prove that if {фn} is a sequence of weak Kadison maps and '→' means norm, strong or weak convergence, then the Korovkin sets are JC-algebras. Furthermore if we assume that {фn} is a sequence of Schwarz maps or anti-Schwarz maps respectively, then the Korovkin sets become reversible JC-algebras.
Dengan menggunakan beberapa jenis jujukan pemetaan linear {фn} atas aljabar-C*, kita pertimbangkan set yang dikenali sebagai set Korovkin, i.i. set berbentuk {a ε Asd/фn(a) → фo(a), фn(a2)→ фo (a2) = фo (a)2} Dalam kertas ini ditunjukkan bahawa jika {фn} adalah jujukan pemetaan Kadison lemah dan penumpuan '→' menandakan penumpuan norma, kuat atau lemah, maka set Korovkin adalah aljabar-JC. Dengan andaian yang lebih kuat, i.i. {фn} masing-masing jujukan Schwarz atau anti-Schwarz, ditunjukkan bahawa set Korovkin merupakan aljabar-JC berbalik.
Affiliation:
- Not Indicated, Not Indicated
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Indexation |
Indexed by |
MyJurnal (2021) |
H-Index
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6 |
Immediacy Index
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0.000 |
Rank |
0 |
Indexed by |
Web of Science (SCIE - Science Citation Index Expanded) |
Impact Factor
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JCR (1.009) |
Rank |
Q4 (Multidisciplinary Sciences) |
Additional Information |
JCI (0.15) |
Indexed by |
Scopus 2020 |
Impact Factor
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CiteScore (1.4) |
Rank |
Q2 (Multidisciplinary) |
Additional Information |
SJR (0.251) |
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