Concepedia

Trace Of Linear Operators

Trace of Linear Operators is a scalar-valued invariant of a linear operator on a finite-dimensional vector space, defined as the sum of the diagonal elements of its matrix representation with respect to any basis, which remains unchanged under basis transformations.

238

Publications

13.7K

Citations

333

Authors

218

Institutions

Publications per year

2017–2026

19

Variants

Operator Trace

Parents

Publications

238

Linear Operators. Part I: General Theory.

Paul Civin, Nelson Dunford, J. T. Schwartz · American Mathematical Monthly · 1960 · 2.8K citations

, , +11

Linear transformations which preserve trace and positive semidefiniteness of operators

Andrzej Jamiołkowski · Reports on Mathematical Physics · 1972 · 1.6K citations

, , +9

Perturbation theory for nullity, deficiency and other quantities of linear operators

Tosio Kato · Journal d Analyse Mathématique · 1958 · 524 citations

, , +13

An analysis of completely-positive trace-preserving maps on M2

Mary Beth Ruskai, Stanisław J. Szarek, Elisabeth M. Werner · Linear Algebra and its Applications · 2002 · 356 citations

, , +4

Linear operators. Part II. Spectral theory. Selfadjoint operators in Hilbert space

Aleksei A. Dezin · USSR Computational Mathematics and Mathematical Physics · 1965 · 355 citations

, , +12

1–5 of 238

Authors

333

  1. AP
    Albrecht Pietsch

    Friedrich Schiller University Jena, Germany

    5 publications · 86 citations

    5

    h-index

  2. HD
    Harry Dym

    Weizmann Institute of Science, Israel

    3 publications · 42 citations

    3

    h-index

  3. ML
    Minghua Lin

    University of Waterloo, Canada

    3 publications · 42 citations

    3

    h-index

  4. FP
    Fernando Pablos Romo

    Universidad de Salamanca, Spain

    2 publications · 24 citations

    2

    h-index

  5. DX
    Daoxing Xia

    Vanderbilt University, United States

    2 publications · 24 citations

    2

    h-index

1–5 of 333

Institutions

218

  1. Weizmann Institute of Science

    Rehovot, Israel

    5 h-index

    5 publications

    92 citations

  2. University of Regina

    Regina, Canada

    4 h-index

    6 publications

    163 citations

  3. The University of Tokyo

    Tokyo, Japan

    3 h-index

    3 publications

    691 citations

  4. Lomonosov Moscow State University

    Moscow, Russia

    3 h-index

    3 publications

    92 citations

  5. Texas A&M University

    College Station, United States

    3 h-index

    3 publications

    369 citations

  6. Centre National de la Recherche Scientifique

    Paris, France

    3 h-index

    3 publications

    66 citations

  7. Kyushu University

    Fukuoka, Japan

    3 h-index

    3 publications

    48 citations

  8. Bar-Ilan University

    Ramat Gan, Israel

    2 h-index

    2 publications

    251 citations

1–8 of 218

Venues

  1. Linear Algebra and its Applications

    18 publications · 688 citations

    13

    h-index

  2. Journal of Functional Analysis

    12 publications · 451 citations

    11

    h-index

  3. Integral Equations and Operator Theory

    9 publications · 420 citations

    9

    h-index

  4. 9

    h-index

  5. Proceedings of the American Mathematical Society

    PROC · 8 publications · 197 citations

    8

    h-index

1–5