We present results of an imaging observation of the central region of a giant radio galaxy B1358+305 .
The classical , standard scenario of Fanaroff-Riley II radio galaxies suggests that shock produced hot electrons contained in a radio galaxy are a good reservoir of the jet-supplied energy from active nuclei .
The aim of our observation is to search for the Sunyaev-Zel ’ dovich effect induced by these hot electrons .
The observation was performed at 21 GHz with the Nobeyama 45-m telescope .
Deep imaging observation of a wide region of size 6.7 ^ { \prime } \times 6.7 ^ { \prime } with the beam size \theta _ { HPBW } = 81.2 ^ { \prime \prime } enables the most detailed examination of the possible thermal energy of electrons contained in a radio galaxy .
The resultant intensity fluctuation is 0.56 mJy beam ^ { -1 } ( in terms of the Compton y -parameter , y = 1.04 \times 10 ^ { -4 } ) at a 95 % confidence level .
The intensity fluctuation obtained with imaging analysis sets the most stringent upper limit on the fluctuations in the central region of a giant radio galaxy obtained so far , and our results will be a toehold for future plans of SZE observation in a radio galaxy .