Concepedia

Functional Calculus For Operators

Functional Calculus for Operators is a mathematical framework that extends the application of functions to linear operators on Hilbert spaces, enabling the evaluation of functions of operators in a way that generalizes spectral theory and operator algebra.

249

Publications

11.3K

Citations

334

Authors

225

Institutions

Publications per year

2017–2026

25

Variants

Operator Functional Calculus

Parents

Publications

249

On Krylov Subspace Approximations to the Matrix Exponential Operator

Marlis Hochbruck, Christian Lubich · SIAM Journal on Numerical Analysis · 1997 · 804 citations · Full text

, , +16

Quantum theory of geometry II: Volume operators

Abhay Ashtekar, Jerzy Lewandowski · Advances in Theoretical and Mathematical Physics · 1997 · 574 citations · Full text

, , +17

Functional calculus for sesquilinear forms and the purification map

W. Pusz, S. L. Woronowicz · Reports on Mathematical Physics · 1975 · 351 citations

, , +7

The analytic-functional calculus for several commuting operators

Joseph L. Taylor · Acta Mathematica · 1970 · 313 citations · Full text

, , +12

Banach space operators with a bounded<i>H</i>∞ functional calculus

Michael Cowling, Ian Doust, Alan Micintosh et al. · Journal of the Australian Mathematical Society Series A Pure Mathematics and Statistics · 1996 · 309 citations · Full text

, , +15

1–5 of 249

Authors

334

  1. FC
    Fabrizio Colombo

    Politecnico di Milano, Italy

    14 publications · 645 citations

    14

    h-index

  2. IS
    Irene Sabadini

    Politecnico di Milano, Italy

    12 publications · 514 citations

    12

    h-index

  3. AM
    Alan McIntosh

    Australian National University, Australia

    10 publications · 325 citations

    10

    h-index

  4. MH
    Markus Haase

    Delft University of Technology, Netherlands

    9 publications · 185 citations

    9

    h-index

  5. XT
    Xuan Thinh Duong

    Macquarie University, Australia

    9 publications · 285 citations

    9

    h-index

1–5 of 334

Institutions

225

  1. Politecnico di Milano

    Milan, Italy

    13 h-index

    31 publications

    1.4K citations

  2. Macquarie University

    Sydney, Australia

    12 h-index

    18 publications

    824 citations

  3. Australian National University

    Canberra, Australia

    6 h-index

    9 publications

    374 citations

  4. University of Oxford

    Oxford, United Kingdom

    6 h-index

    7 publications

    226 citations

  5. Delft University of Technology

    Delft, The Netherlands

    5 h-index

    7 publications

    421 citations

  6. Karlsruhe Institute of Technology

    Karlsruhe, Germany

    5 h-index

    10 publications

    620 citations

  7. UNSW Sydney

    Sydney, Australia

    5 h-index

    5 publications

    270 citations

  8. Universität Ulm

    Ulm, Germany

    5 h-index

    6 publications

    128 citations

1–8 of 225

Venues

  1. Journal of Functional Analysis

    23 publications · 1.1K citations

    17

    h-index

  2. Studia Mathematica

    9 publications · 310 citations

    9

    h-index

  3. Transactions of the American Mathematical Society

    TRAN · 9 publications · 289 citations

    9

    h-index

  4. ArXiv.org

    Repository · 8 publications · 125 citations

    8

    h-index

  5. Proceedings of the American Mathematical Society

    PROC · 7 publications · 241 citations

    7

    h-index

1–5