How can I track object lifetime in C++11 lambda?

class Foo : public std::enable_shared_from_this<Foo> {
public:
    Foo(const std::string& i_name) : name(i_name) {}

    std::function<void()> GetPrinter() {
        std::shared_ptr<Foo> that = shared_from_this();

        return [that]() {
            std::cout << that->name << std::endl;
        };
    }

    std::string name;
};

class Foo : public std::enable_shared_from_this<Foo> {
public:
    Foo(const std::string& i_name) : name(i_name) {}

    std::function<void()> GetPrinter() {
        std::weak_ptr<Foo> weak_this = shared_from_this();

        return [weak_this]() {
            auto that = weak_this.lock();
            if (!that) {
                std::cout << "The object is already dead" << std::endl;
                return;
            }

            std::cout << that->name << std::endl;
        };
    }

    std::string name;
};

struct lifetime_tracker
{
private:
    struct shared_state
    {
        std::uint32_t count : 31;
        std::uint32_t dead  : 1;
    };

public:
    struct monitor
    {
        monitor() : state(nullptr) {}

        monitor(shared_state *i_state) : state(i_state) {
            if (state)
                ++state->count;
        }

        monitor(const monitor& t) : state(t.state) {
            if (state)
                ++state->count;
        }

        monitor& operator=(monitor t) {
            std::swap(state, t.state);
            return *this;
        }

        ~monitor() {
            if (state) {
                --state->count;
                if (state->count == 0 && state->dead)
                    delete state;
            }
        }

        bool alive() const {
            return state && !state->dead;
        }

    private:
        shared_state *state;
    };

public:
    lifetime_tracker() : state(new shared_state()) {}
    lifetime_tracker(const lifetime_tracker&) : state(new shared_state()) {}
    lifetime_tracker& operator=(const lifetime_tracker& t) { return *this; }

    ~lifetime_tracker() {
        if (state->count == 0)
            delete state;
        else
            state->dead = 1;
    }

    monitor get_monitor() const {
        return monitor(state);
    }

private:
    shared_state *state;
};

class Foo {
public:
    Foo(const std::string& i_name) : name(i_name) {}

    std::function<void()> GetPrinter() {
        auto monitor = tracker.get_monitor();

        return [this, monitor]() {
            if (!monitor.alive()) {
                std::cout << "The object is already dead" << std::endl;
                return;
            }

            std::cout << this->name << std::endl;
        };
    }

private:
    lifetime_tracker tracker;

    std::string name;
};