… After fifteen years of being listed as a major open problem in … Our main result is a dramatically
simpler proof of the Paulsen … Here we use it to give a simple proof of the Paulsen conjecture…

… as the Paulsen problem first formally stated in [7]. Proving a good upper bound for the Paulsen
problem … The details about the operator Paulsen problem and the Paulsen problem are in …

… The question becomes, how big can we expect the pile of unmatched socks to get? This
problem, first introduced in [Citation3], has become known as the sock matching …

… problem called the Sundberg problem. … problem in frame theory called the Paulsen problem.
In particular, we will see that this problem is also equivalent to a fundamental open problem …

… for some simple boundary value problems. Although our … -value problems have motivated
us to investigate this issue more … factor has tended to be problem-specific and no systematic …

… Abstract: This survey treats the problem of ruin in a risk model when assets earn
investment income. In addition to a general presentation of the problem, topics covered are a …

… Overlapping regions of validity Error of composite approximation with e I 0.2 Error of
composite approximation with e I 0.3 Error of composite approximation with e I 0.4 Composite …

… The famous Paulsen problem asks: “How close is a frame which is almost tight and almost
… UNTFs to provide explicit answers to the Paulsen problem. The first method intends to …

… Such generalizations go under the name mixed regular-singular stochastic control
problems. However, in this paper we shall only focus on the dividend issue. In the case of an …

… In these notes we develop a link between the Kadison–Singer problem and questions about
… We prove that if any state arising in the Kadison–Singer problem has a unique extension, …