Sentence examples for direct sums from inspiring English sources

Several estimates for finite and infinite direct sums are established.

We will also investigate the topological centers of sub-representations, direct sums and tensor products.

Applications to differential operators on metric graphs and to direct sums are discussed.

Note that both sides of the arrow transform distinguished triangles in $M$ into distinguished triangles and commute with direct sums.

If, in addition, G is abelian, then the associated operators are essentially finite direct sums of classical Toeplitz operators.

We prove a criterion for continuity of bilinear maps on countable direct sums of topological vector spaces.

We also show that the direct sum of two spaces with the approximate hyperplane series property has such property whenever the norm of the direct sum is absolute.

The first approach gives a direct sum estimate of the continuous quantity.

It is shown that every isometry is a direct sum of these types.

A Jordan operator is a (infinite) direct sum of a norm bounded sequence of finite dimensional Jordan blocks.

A rigid embedding between such algebras is a direct sum of certain nondegenerate multiplicity one star-extendible embeddings.