Extrapolation, a technique to estimate
Laszlo Lempert

TL;DR
This paper presents a novel extrapolation technique for estimating linear operators by embedding them into a family with specific curvature properties, enabling norm estimation through limiting bounds, demonstrated on a complex geometry extension problem.
Contribution
Introduces a new extrapolation method for linear operators using operator families with curvature properties, applicable to complex geometry extension problems.
Findings
Effective estimation of operator norms via limits
Application to complex geometry extension problems
Potential for broader applications in analysis
Abstract
We introduce a technique to estimate a linear operator by embedding it in a family of operators, , with suitable curvature properties. One can then estimate the norm of each by bounds that hold in the limit , respectively, . We illustrate this technique on an extension problem that arises in complex geometry.
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Taxonomy
TopicsHolomorphic and Operator Theory · Advanced Banach Space Theory · Matrix Theory and Algorithms
