Albrecht Pietsch

4.1k total citations
94 papers, 2.1k citations indexed

About

Albrecht Pietsch is a scholar working on Mathematical Physics, Applied Mathematics and Algebra and Number Theory. According to data from OpenAlex, Albrecht Pietsch has authored 94 papers receiving a total of 2.1k indexed citations (citations by other indexed papers that have themselves been cited), including 62 papers in Mathematical Physics, 45 papers in Applied Mathematics and 27 papers in Algebra and Number Theory. Recurrent topics in Albrecht Pietsch's work include Advanced Banach Space Theory (45 papers), Holomorphic and Operator Theory (29 papers) and Advanced Topics in Algebra (23 papers). Albrecht Pietsch is often cited by papers focused on Advanced Banach Space Theory (45 papers), Holomorphic and Operator Theory (29 papers) and Advanced Topics in Algebra (23 papers). Albrecht Pietsch collaborates with scholars based in Germany, France and Australia. Albrecht Pietsch's co-authors include Arne Persson, Werner Linde, Hans Triebel, Ivan Singer, Aicke Hinrichs, Albrecht Böttcher, E. D. Gluskin, D. Zanin, Fedor Sukochev and Stefan Heinrich and has published in prestigious journals such as Lecture notes in mathematics, Journal of Mathematical Analysis and Applications and Proceedings of the American Mathematical Society.

In The Last Decade

Albrecht Pietsch

76 papers receiving 1.7k citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Albrecht Pietsch Germany	22	1.5k	1.3k	571	334	326	94	2.1k
J. J. Uhl United States	13	1.2k 0.8×	935 0.7×	452 0.8×	200 0.6×	357 1.1×	36	1.7k
Joseph Diestel United States	14	2.6k 1.7×	1.9k 1.4×	930 1.6×	452 1.4×	956 2.9×	25	3.4k
Jaak Peetre Sweden	26	1.8k 1.2×	2.8k 2.1×	219 0.4×	131 0.4×	598 1.8×	104	3.3k
Benjamin Muckenhoupt United States	28	2.2k 1.5×	4.6k 3.4×	296 0.5×	147 0.4×	525 1.6×	71	5.0k
Stephen Wainger United States	30	1.6k 1.1×	3.0k 2.2×	256 0.4×	122 0.4×	470 1.4×	83	3.6k
A. Pełczyński Poland	29	2.9k 1.9×	1.8k 1.4×	923 1.6×	699 2.1×	550 1.7×	78	3.6k
Reinhold Meise Germany	20	1.1k 0.8×	1.3k 1.0×	161 0.3×	338 1.0×	204 0.6×	82	1.7k
Gottfried Köthe Germany	8	837 0.6×	526 0.4×	229 0.4×	259 0.8×	372 1.1×	12	1.4k
D. S. Lubinsky United States	24	462 0.3×	2.1k 1.6×	587 1.0×	371 1.1×	276 0.8×	213	2.5k
William F. Donoghue United States	11	703 0.5×	641 0.5×	122 0.2×	204 0.6×	600 1.8×	30	1.5k

Countries citing papers authored by Albrecht Pietsch

Since Specialization

Citations

This map shows the geographic impact of Albrecht Pietsch'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 Albrecht Pietsch with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Albrecht Pietsch more than expected).

Fields of papers citing papers by Albrecht Pietsch

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Albrecht Pietsch. 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 Albrecht Pietsch. The network helps show where Albrecht Pietsch may publish in the future.

Co-authorship network of co-authors of Albrecht Pietsch

This figure shows the co-authorship network connecting the top 25 collaborators of Albrecht Pietsch. A scholar is included among the top collaborators of Albrecht Pietsch 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 Albrecht Pietsch. Albrecht Pietsch is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Pietsch, Albrecht. (2024). Lorentz spaces depending on more than two parameters. Annals of Functional Analysis. 15(2).

Pietsch, Albrecht. (2023). Traces on Operator Ideals Defined over the Class of all Banach Spaces and Related Open Problems. Integral Equations and Operator Theory. 95(2). 2 indexed citations

Pietsch, Albrecht. (2020). More about singular traces on simply generated operator ideals. Archiv der Mathematik. 115(3). 299–308.

Pietsch, Albrecht. (2020). The Existence of Singular Traces on Simply Generated Operator Ideals. Integral Equations and Operator Theory. 92(1). 1 indexed citations

Pietsch, Albrecht. (2019). A New View at Dixmier Traces on $$\mathfrak {L}_{1,\infty } (H)$$ L 1 , ∞ ( H ). Integral Equations and Operator Theory. 91(3). 3 indexed citations

Pietsch, Albrecht. (2018). The Spectrum of Shift Operators and the Existence of Traces. Integral Equations and Operator Theory. 90(2). 6 indexed citations

Pietsch, Albrecht. (2018). Traces and symmetric linear forms. Archiv der Mathematik. 112(1). 83–92. 3 indexed citations

Pietsch, Albrecht. (2017). Powers of Symmetric Sequence Ideals. Integral Equations and Operator Theory. 89(2). 233–256. 2 indexed citations

Pietsch, Albrecht. (2017). A New Approach to Operator Ideals on Hilbert Space and Their Traces. Integral Equations and Operator Theory. 89(4). 595–606. 10 indexed citations

10.

Pietsch, Albrecht. (2014). Traces on operator ideals and related linear forms on sequence ideals (part III). Journal of Mathematical Analysis and Applications. 421(2). 971–981. 11 indexed citations

11.

Pietsch, Albrecht, et al.. (2013). Completeness of quasi-normed operator ideals generated bys-numbers. Indagationes Mathematicae. 25(1). 49–58. 8 indexed citations

12.

Pietsch, Albrecht. (2012). Traces on operator ideals and related linear forms on sequence ideals (part I). Indagationes Mathematicae. 25(2). 341–365. 23 indexed citations

13.

Böttcher, Albrecht & Albrecht Pietsch. (2012). Orthogonal and Skew-Symmetric Operators in Real Hilbert Space. Integral Equations and Operator Theory. 74(4). 497–511. 8 indexed citations

14.

Pietsch, Albrecht. (2009). Erhard Schmidt and his contributions to functional analysis. Mathematische Nachrichten. 283(1). 6–20. 3 indexed citations

15.

Pietsch, Albrecht. (1981). Approximation spaces. Journal of Approximation Theory. 32(2). 115–134. 54 indexed citations

16.

Pietsch, Albrecht. (1980). Factorization theorems for some scales of operator ideals. Mathematische Nachrichten. 97(1). 15–19. 10 indexed citations

17.

Pietsch, Albrecht. (1972). Nuclear Locally Convex Spaces. 27 indexed citations

18.

Pietsch, Albrecht. (1971). Interpolation functors, sequence ideals and operator ideals. Czechoslovak Mathematical Journal. 21(4). 644–652. 4 indexed citations

19.

Pietsch, Albrecht. (1971). Adjungierte normierte Operatorenideale. Mathematische Nachrichten. 48(1-6). 189–211. 21 indexed citations

20.

Pietsch, Albrecht. (1962). Verallgemeinerte vollkommene Folgenräume. 23 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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