Thanks.
However, we find nothing in the NT to indicate any kind of inequality among them. What we find is
the close connection in the NT between Father and Son, Father and Spirit, and Son and Spirit pointing to a co-equal relationship; i.e.,
a) "The Lord (Jesus) is the Spirit". . .the Lord (Jesus) who is the Spirit (Ro1:7, 1Co 1:3, 2Co 1:2; Gal 1:3; Eph 1:2,; Php 1:2; 1Th 1:1, 3:11; 2Th 1:2, 8, 12, 2:16, 3:5; Ro 8:27; Gal 4:6; 2Co 3:16-18).
The Spirit is one with Jesus in the unity of the Godhead. The Lord (Jesus) works in men through the Spirit; i.e., the Son and Spirit are co-equal divine beings.
b) The Father who will send the Spirit (Jn 14:26), as it was the Father who sent the Son (Jn 5:23, 36).
The Father will send the Spirit "in my name," as Jesus' deputy, doing Jesus' will, acting as his representative and with his authority (Jn 14:26).
As Jesus came in his Father's name (Jn 5:43), acting as his Father's agent, speaking the Father's words (Jn 12:49-50, 14:24), doing the Father's works (Jn 4:34, 5:36, 10:25; 17:4) and bearing witness throughout to the One who sent him,
so would the Spirit come in Jesus' name, to act in the world as the agent and witness of Jesus (Jn 15:26).
It is the Son who will send the Spirit "from the Father" (Jn 15:26).
As the Father sent the Spirit into the world, so the Son will send the Spirit into the world (Jn 16:7).
So the Spirit is sent by the Son as well as the Father.
c) The Son is subject to the Father (for the Son is sent by the Father in the Father's name--Jn 5:23, 36, 43).
The Spirit is subject to the Father (for the Spirit is sent by the Father in the Son's name--Jn 14:26).
The Spirit is subject to the Son as well as the Father (for the Spirit is sent by the Son as well as the Father--Jn 15:26, 16:7, 14:26).
Likewise, the Father, Son and Holy Spirit are bracketed together as the triune name (singular) of God (Mt 28:19).
a) Paul uses all three interchangeably in 1Co 12:4-6,
b) they are linked in prayer for divine blessing in 2Co 13:14,
c) they are linked in pronouncement of divine blessing in Rev 1:4-5.
So Jesus shows three distinct and separate persons in revealing the mystery of the Trinity--the heart of the Christian faith in God.
That mystery is three separate and distinct Persons, and one God--the Son doing the will of the Father, and the Spirit doing the will of the Father and the Son.
The NT throughout presents the Son and Holy Spirit as divine agents, co-equal with the Father, but distinct, separate and personal (possessing personhood). Nowhere does the NT give us to understand that they are not divine, or are of an inferior nature to the Father. They are always presented as equals--in their nature, in their origin, in their work, in their power, in worship of them.
Always in the NT they are viewed as divine agents, possessing deity within themselves.
And while the NT shows three divine agents, it also shows only one God (Mk 12:29; 1Tim 2:5).
That is the gospel Jesus spells out to Nicodemus (Jn 3:1-21); viz., the combined action of the Triune God.