A notation to represent that all elements of a vector must be less than zero?

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I am defining an optimization algorithm. One of the constraints of the length $p$ vector $\boldsymbol{\theta}^-$ is that all elements in that vector must be less than or equal to zero.

I could say that $$ \theta^+_j \leq 0\quad \forall j\in\{1 ... p\}.$$

Is there any way to express this in the form

$$\boldsymbol{\theta}^+ \leq 0?$$

That doesn't make a lot of sense, but is there some alternate symbol or notation I could replace for $\leq$ to express that I want the vector to be element-wise less than or equal to zero?