Guys, thank you for responding so quickly! I have a PNG image in sRGB format. All three RGB channels contain the same values. I just need to extract one of them (Red, for example) to a file in grayscale format to save space and memory.
I've tried the spells proposed by Fred. Unfortunately, they ...
I use this command. convert image.png -channel R channel.png
Unfortunately brightness is slightly increasing in pixels of the output image. For example a pixel with red value of 100 becomes 132 in the output image.