Skip to main content
SpringerLink
Log in

Proofs Using the Commutant Lifting Theorem

  • Chapter
Metric Constrained Interpolation, Commutant Lifting and Systems

Part of the book series: Operator Theory Advances and Applications ((OT,volume 100))

  • 315 Accesses

Abstract

This chapter contains the proofs of the operator-valued interpolation theorems introduced in the previous chapter. The proofs are based on the commutant lifting theorem which is stated for convenience in the first section. In Chapter IV the commutant lifting theorem will be revisited in more detail, and a constructive proof of this theorem will be given there.

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 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight 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.

Author information

Authors and Affiliations

  1. Department of Mathematics, Indiana University, Rawles Hall, 47405-5701, Bloomington, IN, USA

    C. Foias

  2. Department of Aeronautics, Purdue University, Main Campus, 47907, West Lafayette, IN, USA

    A. E. Frazho

  3. School of Mathematical Sciences Raymond and Beverly Sackler Faculty of Exact Sciences, Tel Aviv University, Ramat Aviv, 69978, Israel

    I. Gohberg

  4. Dept. of Mathematics and Computer Science, Vrije Universiteit Amsterdam, De Boelelaan 82, 1081 HV, Amsterdam, The Netherlands

    M. A. Kaashoek

Authors
  1. C. Foias
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. E. Frazho
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. I. Gohberg
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. M. A. Kaashoek
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

Copyright information

© 1998 Springer Basel AG

About this chapter

Cite this chapter

Foias, C., Frazho, A.E., Gohberg, I., Kaashoek, M.A. (1998). Proofs Using the Commutant Lifting Theorem. In: Metric Constrained Interpolation, Commutant Lifting and Systems. Operator Theory Advances and Applications, vol 100. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8791-5_3

Download citation

  • DOI: https://doi.org/10.1007/978-3-0348-8791-5_3

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9775-4

  • Online ISBN: 978-3-0348-8791-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation