The notions of C-tensor, C₀-tensor and $\overline{C}$-tensor are introduced first. Different necessary and sufficient conditions for a tensor to be a C-tensor, C₀-tensor and $\overline{C}$-tensor are provided. We next show that the sum of two C-tensors (C₀-tensors) is a C-tensor (C₀-tensor) while the Hadamard product of two C-tensors (C₀-tensors) is not a C-tensor (C₀-tensor). We also present a result that illustrates the Hadamard product of two C-tensor is again a C-tensor under some sufficient conditions. As an application of these classes of tensors, an exclusion interval for the real eigenvalues of a real tensor is proposed. Finally, we provide a necessary and sufficient condition for the exclusion interval to be nonempty.

C-张量、C ₀ -张量和$\overline{C}$-首先介绍张量。一个张量是C-张量、C ₀ -张量和$\overline{C}$- 提供了张量。接下来我们证明两个C张量 ( C ₀ -tensors)的总和是一个C张量 ( C _{0 -tensor) 而两个}C张量 ( C ₀ -tensors)的 Hadamard 乘积不是C张量 ( C ₀ -张量）。我们还给出了一个结果，说明两个C张量的 Hadamard 乘积再次是C- 在某些充分条件下的张量。作为这类张量的应用，提出了实张量的实特征值的排除区间。最后，我们提供了排除区间非空的充分必要条件。