Michael Frank

2.5k total citations · 1 hit paper
49 papers, 1.4k citations indexed

About

Michael Frank is a scholar working on Mathematical Physics, Applied Mathematics and Algebra and Number Theory. According to data from OpenAlex, Michael Frank has authored 49 papers receiving a total of 1.4k indexed citations (citations by other indexed papers that have themselves been cited), including 31 papers in Mathematical Physics, 24 papers in Applied Mathematics and 11 papers in Algebra and Number Theory. Recurrent topics in Michael Frank's work include Advanced Operator Algebra Research (27 papers), Holomorphic and Operator Theory (19 papers) and Advanced Banach Space Theory (11 papers). Michael Frank is often cited by papers focused on Advanced Operator Algebra Research (27 papers), Holomorphic and Operator Theory (19 papers) and Advanced Banach Space Theory (11 papers). Michael Frank collaborates with scholars based in Germany, United States and Iran. Michael Frank's co-authors include B. Schweizer, Roger B. Nelsen, C. Alsina, Karsten Rink, Hans‐Stefan Bauer, Olaf Kolditz, Volker Wulfmeyer, Vern I. Paulsen, Earl Davey and Rutger Rosenberg and has published in prestigious journals such as Journal of Computational Physics, Marine Ecology Progress Series and Journal of Mathematical Analysis and Applications.

In The Last Decade

Michael Frank

46 papers receiving 1.3k citations

Hit Papers

On the simultaneous associativity ofF(x, y) andx+y−F(x, y) 1979 2026 1994 2010 1979 250 500 750
What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

  1. On the simultaneous associativity ofF(x, y) andx+y−F(x, y)
    1979 760 citations Michael Frank Aequationes Mathematicae profile →

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Michael Frank Germany 14 424 345 262 235 220 49 1.4k
Carlo Sempi Italy 24 628 1.5× 723 2.1× 779 3.0× 276 1.2× 215 1.0× 53 1.7k
Erhan Çınlar United States 21 518 1.2× 538 1.6× 294 1.1× 179 0.8× 173 0.8× 57 2.2k
Akimichi Takemura Japan 21 172 0.4× 520 1.5× 192 0.7× 238 1.0× 315 1.4× 145 1.4k
Morris L. Eaton United States 22 446 1.1× 1.2k 3.4× 202 0.8× 170 0.7× 536 2.4× 71 2.3k
Masaaki Sibuya Japan 15 157 0.4× 379 1.1× 397 1.5× 111 0.5× 342 1.6× 57 1.4k
M. Bhaskara Rao United States 12 142 0.3× 409 1.2× 130 0.5× 104 0.4× 194 0.9× 39 1.1k
Rabi Bhattacharya United States 23 167 0.4× 536 1.6× 286 1.1× 158 0.7× 325 1.5× 63 1.9k
Steven Orey United States 21 255 0.6× 417 1.2× 366 1.4× 210 0.9× 182 0.8× 60 1.6k
Jordan Stoyanov United Kingdom 16 173 0.4× 340 1.0× 558 2.1× 70 0.3× 213 1.0× 63 1.3k
Stamatis Cambanis United States 24 316 0.7× 622 1.8× 656 2.5× 82 0.3× 321 1.5× 88 1.9k

Countries citing papers authored by Michael Frank

Since Specialization
Citations

This map shows the geographic impact of Michael Frank's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Michael Frank with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Michael Frank more than expected).

Fields of papers citing papers by Michael Frank

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Michael Frank. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Michael Frank. The network helps show where Michael Frank may publish in the future.

Co-authorship network of co-authors of Michael Frank

This figure shows the co-authorship network connecting the top 25 collaborators of Michael Frank. A scholar is included among the top collaborators of Michael Frank based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Michael Frank. Michael Frank is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Frank, Michael, et al.. (2021). B-spline interpolation problem in Hilbert C∗-modules. Journal of Operator Theory. 86(2). 275–298. 1 indexed citations
2.
Frank, Michael, et al.. (2020). Frame-Less Hilbert C$$^*$$-modules II. Complex Analysis and Operator Theory. 14(2). 1 indexed citations
3.
Frank, Michael. (2019). Bibliotheksinformatik als Studienrichtung an der HTWK Leipzig. BIBLIOTHEK Forschung und Praxis. 43(2). 262–265.
4.
Codish, Michael, Michael Frank, & Vitaly Lagoon. (2017). The DNA Word Design Problem: A New Constraint Model and New Results. 585–591. 1 indexed citations
5.
Zamani, Ali, Mohammad Sal Moslehian, & Michael Frank. (2015). Angle Preserving Mappings. Zeitschrift für Analysis und ihre Anwendungen. 34(4). 485–500. 8 indexed citations
6.
Codish, Michael, Luı́s Cruz-Filipe, Michael Frank, & Peter Schneider–Kamp. (2015). Sorting nine inputs requires twenty-five comparisons. Journal of Computer and System Sciences. 82(3). 551–563. 8 indexed citations
7.
Frank, Michael, et al.. (2011). Errata on "Banach-Saks properties of C*-algebras and Hilbert C*-modules". Banach Journal of Mathematical Analysis. 5(1). 94–100.
8.
Frank, Michael, et al.. (2010). Orthogonality-preserving, C ⁎ -conformal and conformal module mappings on Hilbert C ⁎ -modules. Journal of Functional Analysis. 260(2). 327–339. 7 indexed citations
9.
Frank, Michael. (2008). Characterizing C*-algebras of compact operators by generic categorical properties of Hilbert C*-modules. Journal of K-theory K-theory and its Applications to Algebra Geometry and Topology. 2(3). 453–462. 13 indexed citations
10.
Frank, Michael. (2002). ON HAHN–BANACH TYPE THEOREMS FOR HILBERT C*-MODULES. International Journal of Mathematics. 13(7). 675–693. 5 indexed citations
11.
Frank, Michael & David R. Larson. (2000). Modular frames for Hilbert C*-modules and symmetric approximation of frames. 6 indexed citations
12.
Frank, Michael. (1999). Geometrical Aspects of Hilbert C*-modules. Positivity. 3(3). 215–243. 28 indexed citations
13.
Frank, Michael. (1997). A Multiplier Approach to the Lance-Blecher Theorem. Zeitschrift für Analysis und ihre Anwendungen. 16(3). 565–573. 4 indexed citations
14.
Frank, Michael, Vladimir Manuilov, & Evgenij Troitsky. (1997). On Conditional Expectations Arising from Group Actions. Zeitschrift für Analysis und ihre Anwendungen. 16(4). 831–850. 10 indexed citations
15.
Frank, Michael, et al.. (1996). Числа Лефшеца и геометрия операторов в $W^*$-модулях. Функциональный анализ и его приложения. 30(4). 45–57. 2 indexed citations
16.
Frank, Michael & Vladimir Manuilov. (1995). Diagonalizing 'Compact' Operators on Hilbert W*-Modules. Zeitschrift für Analysis und ihre Anwendungen. 14(1). 33–41. 6 indexed citations
17.
Frank, Michael. (1992). Spectral and Polar Decomposition in AW*-Algebras. Zeitschrift für Analysis und ihre Anwendungen. 11(3). 335–341. 1 indexed citations
18.
Frank, Michael. (1990). Self-Duality and $C*$-Reflexivity of Hilbert $C*$-Moduli. Zeitschrift für Analysis und ihre Anwendungen. 9(2). 165–176. 31 indexed citations
19.
Frank, Michael. (1978). On the simultaneous associativity of F(x, y) and x+y-F(x, y). (Short Communication).. Aequationes Mathematicae. 18. 266–268. 1 indexed citations
20.
Frank, Michael. (1971). Probabilistic topological spaces. Journal of Mathematical Analysis and Applications. 34(1). 67–81. 39 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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