LITHIUM COMPOSITE OXIDE AND PRODUCTION METHOD THEREFOR, POSITIVE ELECTRODE ACTIVE MATERIAL FOR SECONDARY BATTERY CONTAINING LITHIUM COMPOSITE OXIDE, POSITIVE ELECTRODE FOR SECONDARY BATTERY CONTAINING THE SAME, AND LITHIUM ION SECONDARY BATTERY USING IT AS POSITIVE ELECTRODE

PROBLEM TO BE SOLVED: To provide a lithium composite oxide ensuring high discharge capacity per volume when used as a positive electrode active material, exhibiting excellent cycle characteristics when used in a temperature atmosphere higher than normal temperature, and also exhibiting excellent thermal stability.SOLUTION: In a hybrid lithium composite oxide containing, as a main component, a particulate lithium composite oxide composed of a core and a shell covering the core, the shell consists of one layer or more, the core is composed of a lithium composite oxide A containing a layer lithium composite oxide as a main component, the shell is composed of a lithium composite oxide B containing a spinel type lithium composite oxide as a main component, and the core and shell are composed of different materials.