First, in your posting you should not go above and beyond the fact that the Shareholder feels that you are wasting money. The problem between sharholder and doorman is purely speculative. As St. Theresa used to say, "Leave the CRAZY ONE" alone and you will not run into phantoms.

Now, back to your problem:

Your By-laws state that the Board has the last word in decision-making. So, why take the tear and wear from a shareholder?

Solution: Your management writes a formal letter to the shareholder with copy to your co-op counsel (for info)stating the facts:

Thank you for your concern on saving money, but Board has reviewed the building's staff's requirements and has CONCLUDED that total door coverage is required if security is to be preserved. PERIOD.

State to the person that shareholders have complained about being individually solicited by a shareholder on a matter that should be addressed as a suggestion to management and copy to the board. HOwever, if the person wishes to continue pressing the item, it should then may be brought in PUBLIC at an open shareholders meeting. HOwever, in the meantime, the sharheolder should cease her activity until the appropriate venue takes place.

Follow the staff assessment public and even remind shareholders what is expected of them if they wish to elevate suggestions of operational nature.

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