At the risk of hijacking the thread, all conservative Christians agree on the ontological Trinity. To quote the Athanasian Creed:
What quality the Father has, the Son has, and the Holy Spirit has.
The Father is uncreated,
the Son is uncreated,
the Holy Spirit is uncreated.
However, the O.P. may be alluding to debate in Protestant circles about the economic Trinity. Are the Son and the Holy Spirit subservient to the Father? And if so, in what way?
When Jesus says in John 5:19: "Truly, truly, I say to you, the Son can do nothing of his own accord, but only what he sees the Father doing," do those words also apply to the pre-incarnate Logos, or only to the incarnate Jesus?
When we say, with the Creed, "the Holy Spirit ... proceeds from the Father," does that imply subservience or hierarchy of some kind?
I, for one, would certainly be interested in the Orthodox view on this.
Longer answer:
the Son can do nothing of himself;
or he does do nothing of himself, nor will he do anything of himself; that is, he neither does, nor will, nor can do anything alone or separate from his Father, or in which he is not concerned; not anything without his knowledge and consent, or contrary to his will: he does everything in conjunction with him; with the same power, having the same will, being of the same nature, and equal to each other: for these words do not design any weakness in the Son, or want of power in him to do anything of himself; that is, by his own power: for he has by his word of power spoke all things out of nothing, and by the same upholds all things; he has himself bore the sins of his people, and by himself purged them away, and has raised himself from the dead; but they express his perfection; that he does nothing, and can do nothing of himself, in opposition to his Father, and in contradiction to his will: as Satan speaks of his own, and evil men alienated from God, act of themselves, and do that which is contrary to the nature and will of God; but the Son cannot do so, being of the same nature with God, and therefore never acts separate from him, or contrary to him, but always co-operates and acts with him, and therefore never to be blamed for what he does. The Syriac, Arabic, and Persic versions render it, "the Son cannot do anything of his own will"; so Nonnus; as separate from, or contrary to his Father's will, but always in agreement with it, they being one in nature, and so in will and work. He does nothing therefore
but what he seeth the Father do John 5:19 - Commentary & Verse Meaning - Bible
For example, Protestants and Roman Catholics agree on the doctrine of the Trinity. When the Reformers broke with the papacy, they did not break with all that the Western Christian tradition had taught for millennia. They retained, for example, the NicenoConstantinopolitan Creed, particularly the version of the creed used in the West, which differs from the version used in the Eastern Orthodox Churches. The Western version states that the Holy Spirit “proceeds from the Father
and the Son.” The “and the Son” portion of the creed is also known as the
filioque clause, and it identifies what distinguishes the Holy Spirit from the Father and from the Son.
As we noted in our last study, the Holy Spirit is fully God, along with the other two persons of the Trinity. The three persons are not distinguished by different divine attributes, for They share the same attributes. Instead, they are distinguished by Their relation one to another. We confess that the Father is unbegotten and that the Son is eternally begotten of the Father (
John 1:1–18). We confess that the Holy Spirit eternally proceeds from the Father and the Son, though Eastern Orthodoxy says the Spirit proceeds eternally only from the Father.
The Spirit Who Proceeds