If your K-1 income includes income generated in NY and CT, you must file a non-resident return in each of those states IF the particular state amount you received exceeds that state's filing threshold for non-residents.
You'll find CT's non-resident filing requirements on page 6 of this reference:
https://portal.ct.gov/-/media/DRS/Forms/1-2018/Income/CT-1040NRPY-Online-Booklet_1218.pdf?la=en
You'll find NY's non-resident filing requirements on page 7 of this reference: https://www.tax.ny.gov/pdf/current_forms/it/it203i.pdf
Since you live in CA, ALL your K-1 income is taxable by CA. But if you do have to pay any tax to CT or NY, you'll be able to take a credit for it on your CA return - so you won't be double-taxed.
maybe. the question is under each states law are you required to file. why don't you do some work and visit each of those states websites. and then look at filing instructions for individual returns. generally there will be a section on who is required to file.
If your K-1 income includes income generated in NY and CT, you must file a non-resident return in each of those states IF the particular state amount you received exceeds that state's filing threshold for non-residents.
You'll find CT's non-resident filing requirements on page 6 of this reference:
https://portal.ct.gov/-/media/DRS/Forms/1-2018/Income/CT-1040NRPY-Online-Booklet_1218.pdf?la=en
You'll find NY's non-resident filing requirements on page 7 of this reference: https://www.tax.ny.gov/pdf/current_forms/it/it203i.pdf
Since you live in CA, ALL your K-1 income is taxable by CA. But if you do have to pay any tax to CT or NY, you'll be able to take a credit for it on your CA return - so you won't be double-taxed.