An Identity Satisfied by Certain Orthogonal Vector-valued Functions

Ellis, Robert L.

doi:10.1007/978-3-0348-0221-5_13

Robert L. Ellis⁶

Part of the book series: Operator Theory: Advances and Applications ((OT,volume 218))

962 Accesses
2 Citations

Abstract

In this paper we first define a class of scalar products on W2m, the product of an even number of copies of the Wiener algebra W. Then we obtain a sequence of orthogonal elements of W2m for such a scalar product and derive an identity that they satisfy.

Mathematics Subject Classification (2000). 47B35, 42C05.

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)

eBook: USD 84.99; Price excludes VAT (USA)

Softcover Book: USD 109.99; Price excludes VAT (USA)

Hardcover Book: USD 109.99; Price excludes VAT (USA)

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

References

R.L. Ellis and I. Gohberg, “Orthogonal systems related to infinite Hankel matrices,” J. Funct. Anal. 109: 155–198 (1992)
Article MathSciNet MATH Google Scholar
R.L. Ellis, I. Gohberg, and D.C. Lay, “Infinite analogues of block Toeplitz matrices and related orthogonal functions,” Integral Equations and Operator Theory 22: 375– 419 (1995)
Article MathSciNet MATH Google Scholar
R.L. Ellis, I. Gohberg, and D.C. Lay, “On a class of block Toeplitz matrices,” Linear Algebra Appl. 241: 225–245 (1996)
Article MathSciNet Google Scholar
I. Gohberg, M.A. Kaashoek, and H.J. Woerdeman, “The band method for positive and contractive extension problems,” J. Operator Theory 22: 109–155 (1989)
MathSciNet MATH Google Scholar
I. Gohberg, M.A. Kaashoek, and H.J. Woerdeman, “The band method for positive and strictly contractive extension problems: An alternative version and new applications, Integral Equations and Operator Theory 12: 343–382 (1989)
Article MathSciNet MATH Google Scholar

Download references

Author information

Authors and Affiliations

Department of Mathematics, University of Maryland, College Park, Maryland, 20742, USA
Robert L. Ellis

Authors

Robert L. Ellis
View author publications
You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Robert L. Ellis .

Editor information

Editors and Affiliations

Dept. Mathematics, Weizmann Institute of Science, Rehovot, Israel
Harry Dym
Dept. Mathematics &, Computer Sciences, Free University Amsterdam, De Boelelaan 1081 A, Amsterdam, 1081 HV, Netherlands
Marinus A. Kaashoek
Dept. Mathematics & Statistics, University of Calgary, University Drive NW 2500, Calgary, T2N 1N4, Alberta, Canada
Peter Lancaster
Inst. Analysis und Scientific Computing, TU Wien, Wiedner Hauptstr. 8-10, Wien, 1040, Austria
Heinz Langer
Dept. Mathematics, Technion Israel Institute of Technology, Haifa, 32000, Israel
Leonid Lerer

Rights and permissions

Reprints and permissions

Copyright information

About this chapter

Cite this chapter

Ellis, R.L. (2012). An Identity Satisfied by Certain Orthogonal Vector-valued Functions. In: Dym, H., Kaashoek, M., Lancaster, P., Langer, H., Lerer, L. (eds) A Panorama of Modern Operator Theory and Related Topics. Operator Theory: Advances and Applications(), vol 218. Springer, Basel. https://doi.org/10.1007/978-3-0348-0221-5_13

Download citation

DOI: https://doi.org/10.1007/978-3-0348-0221-5_13
Published: 03 January 2012
Publisher Name: Springer, Basel
Print ISBN: 978-3-0348-0220-8
Online ISBN: 978-3-0348-0221-5
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)

Publish with us

Policies and ethics