A Metric for Unbounded Linear Operators in a Hilbert Space
✍ Scribed by Go Hirasawa
- Publisher
- SP Birkhäuser Verlag Basel
- Year
- 2010
- Tongue
- English
- Weight
- 237 KB
- Volume
- 70
- Category
- Article
- ISSN
- 0378-620X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
## Abstract In this paper we study linear fractional relations defined in the following way. Let ℋ︁~__i__~ and ℋ︁~__i__~ ^′^, __i__ = 1, 2, be Hilbert spaces. We denote the space of bounded linear operators acting from ℋ︁~__j__~ to ℋ︁~__i__~ ^′^ by __L__ (ℋ︁~__j__~ , ℋ︁~__i__~ ^′^). Let __T__ ∈
Basic questions of information-based complexity are strongly related to n-widths and s-numbers. In this paper we study Monte Carlo methods or randomized methods for linear operators. Similar as in the worst case, Math6 defined linear stochastic n-widths. Our main result is the characterization of th