Hi,
This is indeed an interesting problem.
First, they may be overwhelmed in their relationships with the old boss, but I hope that they have nothing against you!
You are placed in a situation of having to build NEW relationships at work.
I suggest as under:
1) In the office, lean on them to understand how the system of the new office works. Insist on "learning" from them.
2) NEVER obviously praise or criticize the old boss. Speak highly about the old boss to others and NOT your assistants who might feel that you're "using" their "hero" to get close to them and may even resent your attempt. But if they hear from others of your talking highly about the old boss, they will feel happy and justified in their devotion to him and for that reason may lower their guards vis-a-vis you.
3) Socialize on issues not connected with work. You could engage them in their hobbies, preferences, likes, and dislikes, etc.
4) Speak well of them also behind their back.
5) In face-to-face interactions, be objective but not harsh, critical but not cruel. Project your commitment to "what" rather than "who" but remain humane all the time.
In all this, you are trying to get "accepted" by them psychologically. Never lower yourself. Maintain dignity. Treat them as adults but as human beings, and sooner than you think, the ice will melt.
I know from personal experience as a long-time ago, I was in the place of one of the three that you have to deal with presently, and I recall lucidly how our new boss won us over. He respected our old boss and proved himself worthy as a good boss himself but in a new frame. Eventually, we accepted him, though, looking back, I feel our behavior was purely childish. He had understood and strategized to cure us of this childish infatuation with the old boss. He did it without criticizing him but by respecting him simultaneously establishing himself as no less in stature and worthy of our admiration.
It's a matter of time, and you will help them get over the hangover of the past. Just do it subtly. Don't rush. Delicacy and tact are the keys to your problem. But do not "cheapen" yourself in their eyes.
Report results.
Regards,
Samvedan
December 5, 2006