Concepedia

Tensor Product Spaces

Tensor Product Spaces is a mathematical construction in functional analysis that extends the notion of Cartesian products of vector spaces to enable the systematic combination of Hilbert spaces, preserving their inner product structure through a bilinear mapping uniquely characterized by the universal property of tensor products.

1.9K

Publications

88.7K

Citations

2.6K

Authors

1.1K

Institutions

Publications per year

2017–2026

211

Parents

Publications

1.9K

Spline Functions: Basic Theory.

Philip W. Smith, Larry L. Schumaker · Mathematics of Computation · 1982 · 2.5K citations

, , +17

A practical introduction to tensor networks: Matrix product states and projected entangled pair states

Annals of Physics · 2014 · 2.1K citations · Full text

, , +15

Tensor Robust Principal Component Analysis with a New Tensor Nuclear Norm

Canyi Lu, Jiashi Feng, Yudong Chen et al. · IEEE Transactions on Pattern Analysis and Machine Intelligence · 2019 · 1.1K citations

, , +16

Unsupervised Domain Adaptation with Residual Transfer Networks

Mingsheng Long, Zhu Han, Jianmin Wang et al. · arXiv (Cornell University) · 2016 · 1K citations · Full text

, , +14

Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations

Yun Gang Chen, Yoshikazu Giga, Shun’ichi Goto · Journal of Differential Geometry · 1991 · 984 citations · Full text

, , +15

1–5 of 1.9K

Authors

2.6K

  1. YH
    Yi-Zhi Huang

    Rutgers, The State University of New Jersey, United States

    15 publications · 970 citations

    14

    h-index

  2. JL
    James Lepowsky

    Rutgers, The State University of New Jersey, United States

    12 publications · 942 citations

    11

    h-index

  3. AV
    Alexander Varchenko

    University of North Carolina at Chapel Hill, United States

    13 publications · 609 citations

    11

    h-index

  4. PB
    Péter Bárányi

    Hungarian Academy of Sciences, Hungary

    11 publications · 469 citations

    10

    h-index

  5. WH
    Wolfgang Hackbusch

    Max Planck Institute for Mathematics in the Sciences, Germany

    9 publications · 890 citations

    9

    h-index

1–5 of 2.6K

Institutions

1.1K

  1. Centre National de la Recherche Scientifique

    Paris, France

    19 h-index

    50 publications

    2.1K citations

  2. Rutgers, The State University of New Jersey

    New Brunswick, United States

    18 h-index

    32 publications

    1.7K citations

  3. Max Planck Society

    Munich, Germany

    15 h-index

    22 publications

    1.2K citations

  4. University of Waterloo

    Waterloo, Canada

    15 h-index

    33 publications

    2.5K citations

  5. Texas A&M University

    College Station, United States

    14 h-index

    19 publications

    874 citations

  6. Massachusetts Institute of Technology

    Cambridge, United States

    14 h-index

    25 publications

    2.1K citations

  7. Steklov Mathematical Institute

    Moscow, Russia

    14 h-index

    17 publications

    884 citations

  8. Sorbonne Université

    Paris, France

    13 h-index

    16 publications

    2.3K citations

1–8 of 1.1K

Venues

  1. Pacific Journal of Mathematics

    59 publications · 2.6K citations

    31

    h-index

  2. Journal of Functional Analysis

    52 publications · 3K citations

    29

    h-index

  3. Transactions of the American Mathematical Society

    TRAN · 59 publications · 2.4K citations

    28

    h-index

  4. Journal of Mathematical Physics

    64 publications · 2.8K citations

    27

    h-index

  5. Linear Algebra and its Applications

    39 publications · 2.1K citations

    24

    h-index

1–5