Are women permitted to say the Berachoth (blessings) connected with the Pesuqei DeZimra, of Baruch Sheamar and Yishtabbah?
Women are exempt from all Miswoth SheHazeman Gerama (positive commandments which are dependent upon time). The Pesuqei DeZimra which are part of the morning Shaharith prayer must be read by a specific time -- before the Shaharith 'Amidah -- which means no later than four hours into the day. If a man reads them after this time he may not recite the blessings. As such, this is a positive Miswah dependant upon time and women are exempt from praying the Pesuqei DeZimra.
This is as far as their obligation is concerned. However, if they wish to read it, including reciting the complete Berachoth (blessings) of Baruch Sheamar and Yishtabah, they are permitted to do so and will get a reward for doing it. This is a time-honored tradition even among Sephardim.
(See Ohr LeSion 2, 5: 3. Kaf Hahayim (Kaf Hachayim) 70, Oth 1, concerning the prayer from the Aqedah till the end)
