R. W. Cross

567 total citations
28 papers, 369 citations indexed

About

R. W. Cross is a scholar working on Mathematical Physics, Applied Mathematics and Algebra and Number Theory. According to data from OpenAlex, R. W. Cross has authored 28 papers receiving a total of 369 indexed citations (citations by other indexed papers that have themselves been cited), including 20 papers in Mathematical Physics, 13 papers in Applied Mathematics and 12 papers in Algebra and Number Theory. Recurrent topics in R. W. Cross's work include Advanced Banach Space Theory (18 papers), Advanced Topics in Algebra (11 papers) and Holomorphic and Operator Theory (11 papers). R. W. Cross is often cited by papers focused on Advanced Banach Space Theory (18 papers), Advanced Topics in Algebra (11 papers) and Holomorphic and Operator Theory (11 papers). R. W. Cross collaborates with scholars based in South Africa, Spain and Australia. R. W. Cross's co-authors include Teresa Álvarez, Louis E. Labuschagne, Mikhail I. Ostrovskii and Manuel González and has published in prestigious journals such as Journal of Mathematical Analysis and Applications, Journal of Functional Analysis and Linear Algebra and its Applications.

In The Last Decade

R. W. Cross

25 papers receiving 305 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
R. W. Cross South Africa	10	231	230	181	91	73	28	369
Jaroslav Zemánek Poland	12	272 1.2×	280 1.2×	131 0.7×	138 1.5×	49 0.7×	43	411
Mary R. Embry United States	12	177 0.8×	203 0.9×	166 0.9×	160 1.8×	94 1.3×	20	442
Bertram M. Schreiber United States	10	184 0.8×	167 0.7×	62 0.3×	73 0.8×	85 1.2×	22	348
Richard Bouldin United States	9	179 0.8×	199 0.9×	177 1.0×	54 0.6×	24 0.3×	40	309
Bruce L. Chalmers United States	10	191 0.8×	150 0.7×	116 0.6×	66 0.7×	57 0.8×	51	336
Constantin Apostol United States	11	249 1.1×	297 1.3×	140 0.8×	163 1.8×	44 0.6×	40	418
Sadayuki Yamamuro Australia	10	178 0.8×	118 0.5×	115 0.6×	106 1.2×	118 1.6×	56	350
Maher Mnif Tunisia	10	178 0.8×	279 1.2×	189 1.0×	78 0.9×	70 1.0×	50	348
Petr Habala Czechia	2	396 1.7×	275 1.2×	192 1.1×	71 0.8×	175 2.4×	7	530
T. T. West Ireland	8	163 0.7×	122 0.5×	92 0.5×	67 0.7×	71 1.0×	36	289

Countries citing papers authored by R. W. Cross

Since Specialization

Citations

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

Fields of papers citing papers by R. W. Cross

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by R. W. Cross. 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 R. W. Cross. The network helps show where R. W. Cross may publish in the future.

Co-authorship network of co-authors of R. W. Cross

This figure shows the co-authorship network connecting the top 25 collaborators of R. W. Cross. A scholar is included among the top collaborators of R. W. Cross 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 R. W. Cross. R. W. Cross 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

Álvarez, Teresa, et al.. (2003). Adjoint characterisations of quasi-weakly compact linear relations. Journal of Mathematical Analysis and Applications. 277(1). 257–271. 1 indexed citations

Álvarez, Teresa, et al.. (2002). Quantities related to upper and lower semi-Fredholm type linear relations. Bulletin of the Australian Mathematical Society. 66(2). 275–289. 8 indexed citations

Álvarez, Teresa, et al.. (2001). Multivalued Fredholm Type Operators with Abstract Generalised Inverses. Journal of Mathematical Analysis and Applications. 261(1). 403–417. 25 indexed citations

Álvarez, Teresa, R. W. Cross, & Manuel González. (1999). FACTORIZATION OF UNBOUNDED THIN AND COTHIN OPERATORS. Quaestiones Mathematicae. 22(4). 519–529. 1 indexed citations

Cross, R. W.. (1998). An index theorem for the product of linear relations. Linear Algebra and its Applications. 277(1-3). 127–134. 15 indexed citations

Cross, R. W., et al.. (1998). DISJOINTNESS OF OPERATOR RANGES IN BANACH SPACES. Quaestiones Mathematicae. 21(3-4). 247–260. 5 indexed citations

Cross, R. W.. (1996). On Certain Densely Invariant Quantities of Linear Operators. Mathematische Nachrichten. 178(1). 103–116.

Cross, R. W., et al.. (1995). Operator Ranges in Banach Spaces, I. Mathematische Nachrichten. 173(1). 91–114. 5 indexed citations

Cross, R. W.. (1995). NOTE ON SOME CHARACTERISATIONS OF UNBOUNDED WEAKLY COMPACT OPERATORS. Quaestiones Mathematicae. 18(1-3). 257–260. 2 indexed citations

10.

Cross, R. W., et al.. (1994). UBIQUITOUS PROPERTIES OF CERTAIN OPERATIONAL QUANTITIES OF LINEAR RELATIONS IN NORMED SPACES. Quaestiones Mathematicae. 17(4). 487–498. 1 indexed citations

11.

Cross, R. W.. (1993). F ₊ -OPERATORS ARE TAUBERIAN. Quaestiones Mathematicae. 16(2). 129–132. 3 indexed citations

12.

Cross, R. W.. (1992). On a theorem of Kalton and Wilansky concerning Tauberian operators. Journal of Mathematical Analysis and Applications. 171(1). 156–170. 4 indexed citations

13.

Cross, R. W.. (1990). On the perturbation of unbounded linear operators with topologically complemented ranges. Journal of Functional Analysis. 92(2). 468–473. 10 indexed citations

14.

Cross, R. W.. (1990). The essential state diagram of a linear operator. Annales Academiae Scientiarum Fennicae Series A I Mathematica. 15. 283–291. 4 indexed citations

15.

Cross, R. W.. (1988). Unbounded strictly singular operators. Indagationes Mathematicae (Proceedings). 91(3). 245–248. 10 indexed citations

16.

Cross, R. W.. (1988). Properties of some norm related functions of unbounded linear operators. Mathematische Zeitschrift. 199(2). 285–302. 19 indexed citations

17.

Cross, R. W.. (1980). On the continuous linear image of a Banach space. Journal of the Australian Mathematical Society Series A Pure Mathematics and Statistics. 29(2). 219–234. 21 indexed citations

18.

Cross, R. W.. (1980). Unilateral quasi-regularizers of closed operators. Mathematical Proceedings of the Cambridge Philosophical Society. 87(3). 471–480. 3 indexed citations

19.

Cross, R. W., et al.. (1972). A characterization of pre-near-standardness in locally convex linear topological spaces. Bulletin of the Australian Mathematical Society. 6(1). 107–115.

20.

Cross, R. W., et al.. (1972). Schauder decompositions in non-separable Banach spaces. Bulletin of the Australian Mathematical Society. 6(1). 133–144. 3 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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