Between which ranges does the Kashmir Valley in the Himalayas lie ?

The Kashmir Valley is a structural basin located in the northwestern Himalayas. It is geographically positioned between the Great Himalayan Range (specifically the Zanskar Range in its northern/northeastern extent) and the Pir Panjal Range to the south and southwest [1]. The Pir Panjal Range, part of the Lesser Himalayas, separates the valley from the outer plains, while the Zanskar Range forms part of the higher Himalayan complex that separates the valley from the cold desert of Ladakh [2]. While some sources describe the valley as lying between the Greater and Lesser Himalayas [1], the specific mountain ranges defining its boundaries are the Zanskar and Pir Panjal. The Dhauladhar range lies further south in Himachal Pradesh and does not border the Kashmir Valley.

Sources

1. [1] Geography of India ,Majid Husain, (McGrawHill 9th ed.) > Chapter 2: Physiography > 1. The Kashmir Himalaya > p. 14
2. [2] https://en.wikipedia.org/wiki/Indian_Himalayan_Region