ACTA SCIENTIARUM MATHEMATICARUM数学科学学报
ACTA SCIENTIARUM MATHEMATICARUM(英文缩写 ACTA SCI MATH),ISSN 0001-6969,eISSN 2064-8316,中文译名:数学科学学报 是一本学术期刊。本页汇总该期刊的最新影响因子、分区信息以及最新收录于 PubMed 的文献,帮助您快速了解期刊全貌。
发文量统计区间：2025-09-28 至 2026-09-28，按本站收录文献的发表日期统计。
期刊介绍
历年影响因子趋势
| JCR 数据年份 | 影响因子 | JCR 分区 |
|---|---|---|
| 2021 | 未收录 | N/A |
| 2022 | 0.500 | N/A |
| 2023 | 0.500 | Q3 |
| 2024 | 0.600 | Q3 |
| 2025 | 0.700 | Q3 |
ACTA SCIENTIARUM MATHEMATICARUM 最新收录文献
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1. Matrix convexity and unitary power dilations of Toeplitz-contractive operator tuples.
PMID:日期:2025-01-01Using works of T. Ando and L. Gurvits, the well-known theorem of P.R. Halmos concerning the existence of unitary dilations for contractive linear operators acting on Hilbert spaces is recast as a result for -tuples of contractive Hilbert space operators satisfying a certain matrix-positivity condition. Such operator -tuples satisfying this matrix-positivity condition are called, herein, Toeplitz-contractive, and a characterisation of the Toeplitz-contractivity condition is presented. The matrix-positivity condition leads to definitions of new distance-measures in several variable operator theory, generalising the notions of norm, numerical radius, and spectral radius to -tuples of operators (commuting, for the spectral radius) in what appears to be a novel, asymmetric way. Toeplitz contractive operators form a noncommutative convex set, and a scaling constant for inclusions of the minimal and maximal matrix convex sets determined by a stretching of the unit circle across complex dimensions is shown to exist.
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2. Operator means, barycenters, and fixed point equations.
PMID:日期:2024-01-01The seminal work of Kubo and Ando (Math Ann 246:205-224, 1979/80) provided us with an axiomatic approach to means of positive operators. As most of their axioms are algebraic in nature, this approach has a clear algebraic flavour. On the other hand, it is highly natural to take the geomeric viewpoint and consider a distance (understood in a broad sense) on the cone of positive operators, and define the mean of positive operators by an appropriate notion of the center of mass. This strategy often leads to a fixed point equation that characterizes the mean. The aim of this survey is to highlight those cases where the algebraic and the geometric approaches meet each other.