A Contribution to the Vector and Tensor Algebra

  • Zlatko Janković
Part of the International Centre for Mechanical Sciences book series (CISM, volume 6)


The aim of this paper is to give a simple and suitable approach to the vector and tensor algebra which represents a general and natural scheme for a wide range of applications. The essential feature of this scheme is the synthesis of notions of contravariance and covariance with the bra and ket forms. The main consequences of such an approach are investigated and an appropriate notation is developed.


Vector Space Basis Vector Product Space Factor Space Complex Vector Space 
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  1. [1]
    H. J. Kowalsky: Lineare Algebra, Berlin 1963Google Scholar
  2. W. H. Greub: Multilinear Algebra, Berlin 1967Google Scholar
  3. [2]
    P. A. M. Dirac: The principles of quantum mechanics, 3. ed., Oxford 1949Google Scholar
  4. [3]
    J. A. Schouten: Ricci-Calculus, 2. ed., Berlin 1954Google Scholar
  5. [4]
    L. A. Ljusternik-V. I. Sobolev: Elementi funkcionalnovo analiza, Moskva 1965Google Scholar
  6. N. S. Ahiezer - I. M. Glazman: Teoria linejnih operatorov v Hilbertovom prostranstve, Moskva 1966Google Scholar
  7. K. Yosida: Functional Analysis, 2 ed., Berlin 1966Google Scholar

Copyright information

© Springer-Verlag Wien 1969

Authors and Affiliations

  • Zlatko Janković
    • 1
  1. 1.University of ZagrebCroatia

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