Skip to main content
SpringerLink
Log in

Geometrical Properties of a Unit Sphere of the Operator Spaces in Lp

  • Chapter
The Gohberg Anniversary Collection

Part of the book series: Operator Theory: Advances and Applications ((OT,volume 41))

  • 171 Accesses

Abstract

Let S be an operator of orthogonal projecting on the set of constant functions on [0,1]:

$${\text{Sx}}\left( {\text{t}} \right){\text{ = }}\int\limits_{{\text{0}}}^{{\text{1}}} {{\text{x}}\left( {\text{s}} \right){\text{ds 1}}} $$

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.00
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. E.M. Semenov and I.Ya. Shneiberg: Hipercontractig operators and Khintchine’s inequality. Funct. Anal., and its Appl., 22, N 3, 87–88 (1988) (Russian).

    Google Scholar 

  2. E.M. Semenov and I.Ya. Shneiberg: Contracting operator and Khintchine’s inequality. Sib. Math. J. (to appear) (Russian).

    Google Scholar 

  3. C. Fefferman and H. Shapiro: A planar face on the unit sphere of the multiplier space Mp, 1 < P < ∞. Pros. Amer. Math. Soc., 36, N 2, 435–439 (1972).

    Google Scholar 

  4. Y. Benjamini and Pei-Kee Lin: Norm one multipliers on L P (G) Arkiv for matematik, 24, N 2, 159–173 (1986).

    Article  Google Scholar 

  5. S.G. Krein, Ju.I. Petunin and E.M. Semenov: Interpolation of Linear Operators. AMS, Providence, 1982.

    Google Scholar 

  6. J. Bergh and J. Lofstrom: Interpolation spaces. Springer, Berlin-Heidelberg-New York, 1976.

    Book  Google Scholar 

  7. J. Diestel: Geometry of Banach Spaces. Springer, Berlin-Heidelberg-New York, 1975.

    Google Scholar 

  8. B.S. Kashin, A.A. Saakyan: Orthogonal series. Nauka, Moscow, 1984 (Russian).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Dep.of Mathematics, Voronezh State University, 394693, Voronezh, USSR

    E. M. Semenov & I. Ya. Shneiberg

  2. Voronezh Forest Tecnology Institute, 394043, Voronezh, USSR

    E. M. Semenov & I. Ya. Shneiberg

Authors
  1. E. M. Semenov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. I. Ya. Shneiberg
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

H. Dym S. Goldberg M. A. Kaashoek P. Lancaster

Additional information

Dedicated to professor Israel Gohberg on the occasion of his 60 th birthday

Rights and permissions

Reprints and permissions

Copyright information

© 1989 Birkhäuser Verlag Basel

About this chapter

Cite this chapter

Semenov, E.M., Shneiberg, I.Y. (1989). Geometrical Properties of a Unit Sphere of the Operator Spaces in Lp . In: Dym, H., Goldberg, S., Kaashoek, M.A., Lancaster, P. (eds) The Gohberg Anniversary Collection. Operator Theory: Advances and Applications, vol 41. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-9278-0_27

Download citation

  • DOI: https://doi.org/10.1007/978-3-0348-9278-0_27

  • Publisher Name: Birkhäuser Basel

  • Print ISBN: 978-3-0348-9975-8

  • Online ISBN: 978-3-0348-9278-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation