Why can it be argued that energy cannot be transferred from the sun to the earth by convection

Why can it be argued that energy cannot be transferred from the sun to the earth by convection and heat conduction in what way is it transferred?

In order for the energy to be transferred from the source to the receiver using convection, it is necessary that in a closed volume the space between them be filled with an unevenly heated liquid or gas.

For thermal conductivity to be possible, there must be a high-density conductive substance between the source and the receiver, in which atoms and molecules directly affect each other.

The concentration of matter between the Sun and the Earth is very low, therefore convection and heat conduction are impossible.

The energy of the Sun transfers electromagnetic radiation to the Earth. A small part of the solar energy is carried by a stream of corpuscular particles, mainly electrons and protons.