Sentence examples for product spaces from inspiring English sources

In 2-inner product spaces, we have the following theorem.

Birkhoff orthogonality coincides with usual orthogonality in inner product spaces.

Further, the product spaces satisfy the following: (2.3).

Quadratic functional equations were used to characterize inner product spaces.

All finite-dimensional inner product spaces are complete, and I will restrict myself to these.

Our approach builds on the properties of Gaussian Hilbert spaces and associated tensor product spaces.

Our results are based on an isoperimetric inequality for product spaces due to Talagrand.

Meanwhile, an analogous result is computed for the p-adic Lebesgue product spaces with power weights.

This implies that the Torricellian point of a set A always exists in inner product spaces.

The following theorem contains an example of non-expansive linear subspaces in inner product spaces.

These results generalize the result of Ran and Reurings [23] in product spaces.