𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Invertibility and Spectrum of Hille–Tamarkin Matrices

✍ Scribed by M. I. Gil'

Publisher
John Wiley and Sons
Year
2002
Tongue
English
Weight
148 KB
Volume
244
Category
Article
ISSN
0025-584X

No coin nor oath required. For personal study only.

✦ Synopsis

Hille-Tamarkin matrices are investigated. Invertibility conditions and estimates for the norm of the inverse matrices are established. In addition, bounds for the spectrum are suggested. In particular, new estimates for the spectral radius are derived.

📜 SIMILAR VOLUMES

Invertibility and Spectrum Localization
Invertibility and Spectrum Localization of Non-Self-Adjoint Operators
✍ M.I Gil' 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 133 KB

This paper deals with Volterra perturbations of normal operators in a separable Hilbert space. Invertibility conditions and estimates for the norm of the inverse operators are established. In addition, bounds for the spectrum are suggested. Applications to integral, integro-differential, and matrix

Partition, Construction, and Enumeration
Partition, Construction, and Enumeration of M–P Invertible Matrices over Finite Fields
✍ Zongduo Dai; Yufeng Zhang 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 314 KB

A necessary and su$cient condition for an m;n matrix A over F O having a Moor}Penrose generalized inverse (M}P inverse for short) was given in (C. K. Wu and E. Dawson, 1998, Finite Fields Appl. 4, 307}315). In the present paper further necessary and su$cient conditions are obtained, which make clear