Non-Myeloablative HLA-Matched Ex-Vivo T-cell Depleted Stem Cell Transplantation for Hematologic Malignancies

The purpose of this trial is to determine if patients with hematologic diseases who have a HLA 6/6 matched related donor and are not eligible for a standard myeloablative stem cell transplant will have less severe graft versus host disease (GVHD), transplant related mortality, and less graft failure when treated with a non-myeloablative T-cell depleted stem cell transplant.