Concepedia

Infinite-dimensional Vector Spaces

Infinite-Dimensional Vector Spaces is a vector space in which the dimension, defined as the cardinality of a basis, is infinite, thereby distinguishing it from finite-dimensional vector spaces that possess bases of finite cardinality.

182

Publications

9.4K

Citations

277

Authors

183

Institutions

Publications per year

2017–2026

12

Parents

Publications

182

Characteristic Vectors of Bordered Matrices With Infinite Dimensions

E. P. Wigner · Annals of Mathematics · 1955 · 1.5K citations

, , +5

Infinite Matrices and Sequence Spaces

P. Vermes, Richard G. Cooke · The Mathematical Gazette · 1951 · 497 citations

, , +8

Large Deviations for a General Class of Random Vectors

Richard S. Ellis · The Annals of Probability · 1984 · 403 citations · Full text

, , +15

Characteristics Vectors of Bordered Matrices with Infinite Dimensions II

E. P. Wigner · Annals of Mathematics · 1957 · 320 citations

, , +3

Linear Programming in Infinite-Dimensional Spaces

Gautam Appa, Edward Anderson, Peter Nash · Journal of the Operational Research Society · 1989 · 297 citations

, , +9

1–5 of 182

Authors

277

  1. JB
    Jeffrey B. Remmel

    University of California San Diego, United States

    4 publications · 64 citations

    4

    h-index

  2. MM
    Mukul Majumdar

    Cornell University, United States

    3 publications · 107 citations

    3

    h-index

  3. AR
    Allen Retzlaff

    Purchase College, United States

    3 publications · 67 citations

    3

    h-index

  4. YY
    Yasuo Yamasaki

    Kyoto University, Japan

    3 publications · 33 citations

    3

    h-index

  5. NK
    Nguyen Khoa Son

    Institute of Mathematics, Vietnam

    3 publications · 33 citations

    3

    h-index

1–5 of 277

Institutions

183

  1. University of California San Diego

    San Diego, United States

    7 h-index

    8 publications

    155 citations

  2. Kyoto University

    Kyoto, Japan

    6 h-index

    7 publications

    180 citations

  3. University of California, Davis

    Davis, United States

    4 h-index

    5 publications

    153 citations

  4. Institute of Mathematics

    Hanoi, Vietnam

    4 h-index

    4 publications

    59 citations

  5. Cornell University

    Ithaca, United States

    4 h-index

    6 publications

    579 citations

  6. Universidad de Salamanca

    Salamanca, Spain

    3 h-index

    4 publications

    74 citations

  7. Universidad de Los Andes

    Bogotá, Colombia

    3 h-index

    3 publications

    40 citations

  8. University of Chicago

    Chicago, United States

    3 h-index

    4 publications

    593 citations

1–8 of 183

Venues

  1. Journal of Symbolic Logic

    11 publications · 207 citations

    10

    h-index

  2. arXiv (Cornell University)

    Repository · 8 publications · 196 citations

    8

    h-index

  3. Transactions of the American Mathematical Society

    TRAN · 5 publications · 203 citations

    5

    h-index

  4. Pacific Journal of Mathematics

    5 publications · 227 citations

    5

    h-index

  5. Linear and Multilinear Algebra

    5 publications · 89 citations

    5

    h-index

1–5