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A pseudonorm for unbounded transformations

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Abbreviations

H, K, L, H 1,H′ ...:

Hilbert spaces

dimH :

usual (geometrical) dimension

DimH :

algebraical dimension

transformation:

linear transformation

manifold:

subset, closed under the linear operations

subspace:

(topologically) closed manifold

ON:

orthonormal

basis:

ON complete system

Reference

  1. P. R. Halmos,A Hilbert space problem book, Van Nostrand (1967).

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Authors and Affiliations

  1. Mathematical Institute of the Hungarian Academy of Sciences, Reáltanoda U. 13-15, H-1053, Budapest

    I. Z. Ruzsa

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  1. I. Z. Ruzsa
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Ruzsa, I.Z. A pseudonorm for unbounded transformations. Acta Mathematica Academiae Scientiarum Hungaricae 34, 297–305 (1979). https://doi.org/10.1007/BF01896124

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  • DOI: https://doi.org/10.1007/BF01896124

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