Slant antieigenvalues and slant antieigenvectors of operators
β Scribed by Karl Gustafson; Morteza Seddighin
- Book ID
- 104038150
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 383 KB
- Volume
- 432
- Category
- Article
- ISSN
- 0024-3795
No coin nor oath required. For personal study only.
β¦ Synopsis
We will introduce a general notion of slant antieigenvalue and corresponding slant antieigenvector. Then we establish how that theory may be compared to, and in some sense reduced to, the standard antieigenvalue theory. Generally speaking, our point of view is to accommodate such generalized antieigenvalue theories within the basic concepts and techniques of the original antieigenvalue theory.
π SIMILAR VOLUMES
For an integer k β₯ 2, k th -order slant Toeplitz operator UΟ [1] with symbol Ο in L β (T), where T is the unit circle in the complex plane, is an operator whose representing matrix M = (Ξ±ij ) is given by Ξ±ij = Ο, z ki-j , where . , . is the usual inner product in L 2 (T). The operator VΟ denotes the
In this paper, commutativity of k th -order slant Toeplitz operators are discussed. We show that commutativity and essential commutativity of two slant Toeplitz operators are the same. Also, we study k th -order slant Toeplitz operators on the Bergman space L 2 a (D) and give some commuting properti