Sentence examples for strictly singular from inspiring English sources

The ratio of maximal and minimal values in the vector W, called condition number, characterizes the singularity of A. If some values of W are zeros, matrix A is strictly singular, but it could be numerically close to singularity, or ill-conditioned, if the condition number is close to machine precision.

As a consequence, we obtain that the strictly singular operator with no invariant subspaces constructed by C. Read is actually finitely strictly singular.

We also show that strictly singular operators on ℓ∞ are commutators.

More generally, this fact holds true also for a strictly singular operator (see [6, Proposition.c. ]).

We show that, for 1⩽p<q<∞, the formal inclusion operator from Jp to Jq is finitely strictly singular.

For example, for every pair of countable ordinals γ,β, we are able to decompose every bounded linear operator from Xγ to Xβ as the sum of a diagonal operator and an strictly singular operator.

However, there exists a Zp-strictly singular operator which does not factor through Xp.

The method we introduce to achieve this allows us to considerably control the structure of subspaces of the resulting spaces as well as to precisely describe the corresponding spaces on non-strictly singular operators.

As for the goggles and swimming cap (note the singular - doubling up headgear is strictly forbidden by the CSA), they were nothing fancy.

Thus, we focus only on those dimensions corresponding to strictly positive singular values of ({tilde {mathbf {H}}_{k}}).

It is well known that exceptional values of meromorphic functions are strictly relative with singular directions.