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It is known that if A∈Mn is normal (AA*=A*A) , then AA￣=A￣A if and only if AAT=ATA. This leads to the question: do both AA￣=A￣A and AAT=ATA imply that A is normal? We give an
example to show that this is false when n=4, but we show that it is true when n=2 and n=3.
Hepatorenal syndrome (HRS) is a grave complication of
end-stage liver disease and is associated with a very high mortality.
This case report described a 42-year-old female with advanced
alcohol-induced cirrhosis who developed HRS that was initially treated with
Midodrine and Octreotide but renal function continued to deteriorate.
Vasopressin therapy was added and HRS was successfully reversed. There are few data
available on the use of vasopressin for HRS and this case supports its use in
treatment of HRS, particularly in countries where the more widely studied
Terlipressin is unavailable. This case also demonstrates that a patient failing one
medical therapy for HRS may respond to an alternative or adjunctive therapy. Therefore, this
should be attempted to increase the patient’s chance of survival.