Laurent and Toeplitz Operators

Israel Gohberg (), Seymour Goldberg () and Marinus A. Kaashoek ()
Additional contact information
Israel Gohberg: Tel Aviv University, School of Mathematical Sciences Raymond and Beverly Sackler Faculty of Exact Sciences
Seymour Goldberg: University of Maryland, Department of Mathematics
Marinus A. Kaashoek: Vrije Universiteit Amsterdam, Department of Mathematics and Computer Science

Chapter Chapter III in Basic Classes of Linear Operators, 2003, pp 135-170 from Springer

Abstract: Abstract This chapter deals with operators on ℓ2(ℤ) and ℓ2 with the property that the matrix relative to the standard basis in these spaces has a special structure, namely the elements on diagonals parallel to the main diagonal are the same, i.e., the matrix entries a jk depend on the difference j — k only. On ℓ2(ℤ) these operators are called Laurent operators (and in that case the matrix is doubly infinite); on ℓ2 they are called Toeplitz operators. These operators form important classes of operators and they appear in many applications. They also have remarkable properties. For instance, there are different methods to invert explicitly these operators, and to compute their spectra. This chapter reviews these results starting from the simplest class.

Date: 2003
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-0348-7980-4_3

Ordering information: This item can be ordered from
http://www.springer.com/9783034879804

DOI: 10.1007/978-3-0348-7980-4_3

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().