Allah says

دَعْوَاهُمْ فِيهَا سُبْحَانَكَ اللَّهُمَّ وَتَحِيَّتُهُمْ فِيهَا سَلاَمٌ ...

Their way of request therein will be: "Glory to You, O Allah!'' And Salam (peace, safety from evil) will be their greetings therein! And the close of their request will be: "All praise is due to Allah, the Lord of all that exists.''

meaning this is the condition of the people of Paradise.

This is similar to what is found in the following Ayat:

تَحِيَّتُهُمْ يَوْمَ يَلْقَوْنَهُ سَلَـمٌ

Their greeting on the Day they shall meet Him will be "Salam (Peace)!'' (33:44)

لاَ يَسْمَعُونَ فِيهَا لَغْواً وَلاَ تَأْثِيماً

إِلاَّ قِيلاً سَلَـماً سَلَـماً

No Laghw (dirty, false, evil vain talk) will they hear therein, nor any sinful speech. But only the saying of: Salam! Salam!'' (56:25-26)

سَلاَمٌ قَوْلاً مِّن رَّبٍّ رَّحِيمٍ

(It will be said to them): "Salam'' -- a Word from the Lord, Most Merciful. (36:58)

وَالمَلَـئِكَةُ يَدْخُلُونَ عَلَيْهِمْ مِّن كُلِّ بَابٍسَلَـمٌ عَلَيْكُمُ

And angels shall enter unto them from every gate (saying): "Salamun `Alaykum (peace be upon you)!'' (13:23-24)

In Allah's statement,

... وَآخِرُ دَعْوَاهُمْ أَنِ الْحَمْدُ لِلّهِ رَبِّ الْعَالَمِينَ ﴿١٠﴾

And the close of their request will be: All praise is due to Allah, the Lord of all that exists.''

There is an indication that Allah Almighty is the Praised One always, the Worshipped at all times. This is why He praised Himself at the beginning and the duration of His creation. He also praised Himself in the beginning of His Book and the beginning of its revelation.

Allah said:

الْحَمْدُ لِلَّهِ الَّذِى أَنْزَلَ عَلَى عَبْدِهِ الْكِتَـبَ

All the praises and thanks be to Allah, Who has sent down to His servant the Book (the Qur'an). (18:1)

الْحَمْدُ للَّهِ الَّذِى خَلَقَ السَّمَـوَتِ وَالاٌّرْض

All praise is due to Allah, Who (alone) created the heavens and the earth, (6:1)

and many other citations with this meaning.

The Ayah also indicates that Allah is the Praised One in this world and in the Hereafter and in all situations.

In a Hadith recorded by Muslim:

إِنَّ أَهْلَ الْجَنَّةِ يُلْهَمُونَ التَّسْبِيحَ وَالتَّحْمِيدَ كَمَا يُلْهَمُونَ النَّفَس

The people of Paradise will be inspired to glorify Allah and praise Him as they instinctively breath.

This will be their nature because of the increasing bounties of Allah upon them. These bounties are repeated and brought back again and increased with no limit or termination. So praise be to Allah for there is no God but He and no Lord save He.