Geraldo Botelho

1.3k total citations
77 papers, 601 citations indexed

About

Geraldo Botelho is a scholar working on Mathematical Physics, Applied Mathematics and Statistics and Probability. According to data from OpenAlex, Geraldo Botelho has authored 77 papers receiving a total of 601 indexed citations (citations by other indexed papers that have themselves been cited), including 71 papers in Mathematical Physics, 50 papers in Applied Mathematics and 40 papers in Statistics and Probability. Recurrent topics in Geraldo Botelho's work include Advanced Banach Space Theory (70 papers), Approximation Theory and Sequence Spaces (40 papers) and Holomorphic and Operator Theory (39 papers). Geraldo Botelho is often cited by papers focused on Advanced Banach Space Theory (70 papers), Approximation Theory and Sequence Spaces (40 papers) and Holomorphic and Operator Theory (39 papers). Geraldo Botelho collaborates with scholars based in Brazil, Spain and Germany. Geraldo Botelho's co-authors include Daniel Pellegrino, Pilar Rueda, Juan B. Seoane‐Sepúlveda, Óscar Blasco, Mário C. Matos, Pablo Galindo, Eduardo V. Teixeira, Richard M. Aron, Leonardo Pellegrini and Qingying Bu and has published in prestigious journals such as Journal of Mathematical Analysis and Applications, Journal of Functional Analysis and Pacific Journal of Mathematics.

In The Last Decade

Geraldo Botelho

71 papers receiving 564 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Geraldo Botelho Brazil 15 584 452 324 129 106 77 601
Pilar Rueda Spain 13 417 0.7× 363 0.8× 206 0.6× 94 0.7× 76 0.7× 64 454
Rafael Payá Spain 14 401 0.7× 252 0.6× 180 0.6× 92 0.7× 87 0.8× 25 418
V. P. Fonf Israel 11 405 0.7× 236 0.5× 124 0.4× 57 0.4× 137 1.3× 64 434
Yun Sung Choi South Korea 14 475 0.8× 339 0.8× 180 0.6× 105 0.8× 100 0.9× 44 503
Marat Pliev Russia 14 375 0.6× 283 0.6× 311 1.0× 38 0.3× 40 0.4× 51 392
Paweł Domański Poland 16 412 0.7× 564 1.2× 75 0.2× 238 1.8× 135 1.3× 58 641
С. В. Асташкин Russia 13 628 1.1× 607 1.3× 227 0.7× 36 0.3× 53 0.5× 164 710
Vladimir I. Gurariy United States 5 309 0.5× 241 0.5× 83 0.3× 94 0.7× 107 1.0× 6 354
Pierre Saphar Israel 10 337 0.6× 216 0.5× 185 0.6× 80 0.6× 71 0.7× 13 375
Klaus D. Bierstedt Germany 10 417 0.7× 534 1.2× 76 0.2× 153 1.2× 142 1.3× 21 608

Countries citing papers authored by Geraldo Botelho

Since Specialization
Citations

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

Fields of papers citing papers by Geraldo Botelho

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Geraldo Botelho

This figure shows the co-authorship network connecting the top 25 collaborators of Geraldo Botelho. A scholar is included among the top collaborators of Geraldo Botelho 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 Geraldo Botelho. Geraldo Botelho 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.
Botelho, Geraldo, et al.. (2025). Grothendieck’s compactness principle for the absolute weak topology. Journal d Analyse Mathématique. 157(1). 155–170. 1 indexed citations
2.
Botelho, Geraldo, et al.. (2025). On the duality of $DW$-compact operators and $DW$-DP operators. Bulletin of the Belgian Mathematical Society - Simon Stevin. 32(4).
3.
Botelho, Geraldo, et al.. (2025). Zero sets of homogeneous polynomials containing infinite dimensional spaces. Revista Matemática Complutense. 39(1). 135–147.
4.
Botelho, Geraldo, et al.. (2024). Representation of sequence classes by operator ideals. Journal of Mathematical Analysis and Applications. 542(1). 128755–128755. 2 indexed citations
5.
Botelho, Geraldo, et al.. (2024). Aron–Berner extensions of almost Dunford–Pettis multilinear operators. Monatshefte für Mathematik. 203(3). 563–581.
6.
Botelho, Geraldo, et al.. (2022). Duality theory for generalized summing linear operators. Collectanea mathematica. 74(2). 457–472. 7 indexed citations
7.
Botelho, Geraldo, et al.. (2019). Absolute Schauder Decompositions and Linearization of Holomorphic Mappings of Bounded Type. Publications of the Research Institute for Mathematical Sciences. 55(3). 651–664. 1 indexed citations
8.
Botelho, Geraldo, et al.. (2017). Two-sided polynomial ideals on Banach spaces. Journal of Mathematical Analysis and Applications. 462(1). 900–914. 2 indexed citations
9.
Botelho, Geraldo, et al.. (2016). Type and cotype of multilinear operators. Revista Matemática Complutense. 29(3). 659–676. 4 indexed citations
10.
Botelho, Geraldo, et al.. (2014). A polynomial Hutton theorem with applications. Journal of Mathematical Analysis and Applications. 415(1). 294–301. 4 indexed citations
11.
Botelho, Geraldo, et al.. (2012). Lineability and spaceability for the weak form of Peano’s theorem and vector-valued sequence spaces. Proceedings of the American Mathematical Society. 141(6). 1913–1923. 10 indexed citations
12.
Botelho, Geraldo, et al.. (2012). Maximal spaceability in sequence spaces. Linear Algebra and its Applications. 437(12). 2978–2985. 12 indexed citations
13.
Blasco, Óscar, Geraldo Botelho, Daniel Pellegrino, & Pilar Rueda. (2011). On the interplay between different summability properties of multilinear mappings. arXiv (Cornell University). 1 indexed citations
14.
Botelho, Geraldo, Daniel Pellegrino, & Pilar Rueda. (2010). Dominated Bilinear Forms and 2-homogeneous Polynomials. Publications of the Research Institute for Mathematical Sciences. 46(1). 201–208. 4 indexed citations
15.
Botelho, Geraldo, et al.. (2010). Spaceability in Banach and quasi-Banach sequence spaces. Linear Algebra and its Applications. 434(5). 1255–1260. 23 indexed citations
16.
Botelho, Geraldo, et al.. (2009). Lineability of the set of bounded linear non-absolutely summing operators. Journal of Mathematical Analysis and Applications. 357(1). 171–175. 18 indexed citations
17.
Botelho, Geraldo, Daniel Pellegrino, & Pilar Rueda. (2007). On Composition Ideals of Multilinear Mappings and Homogeneous Polynomials. Publications of the Research Institute for Mathematical Sciences. 43(4). 1139–1155. 43 indexed citations
18.
Botelho, Geraldo, Daniel Pellegrino, & Pilar Rueda. (2006). Pietsch's factorization theorem for dominated polynomials. Journal of Functional Analysis. 243(1). 257–269. 15 indexed citations
19.
Botelho, Geraldo & Daniel Pellegrino. (2005). Scalar-valued dominated polynomials on Banach spaces. Proceedings of the American Mathematical Society. 134(6). 1743–1751. 14 indexed citations
20.
Botelho, Geraldo. (2002). Weakly Compact and Absolutely Summing Polynomials. Journal of Mathematical Analysis and Applications. 265(2). 458–462. 16 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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