Multilayer thermoplastic film structures comprising at least one heat-sealable outer layer (A) and at least one core layer (B) are disclosed. Layer (A) has improved heat sealability after irradiation (e.g. electron beam). Layer (B) has improved shrinkage after irradiation. Layer (A) is a linear polyethylene having a melt index from about 2 to about 20 g/10 minutes, a density from about 0.88 to about 0.92 g/cc, a molecular weight distribution (I.sub.10 /I.sub.2) from about 5 to about 8, a fraction of the polyethylene having a degree of branching less than or equal to 2 methyls/1000 carbons of not more than 15% by weight and a fraction of the polyethylene having a degree of branching greater than or equal to 25 methyls/1000 carbons of not more than 25% by weight of the polymer. Layer (B) is a linear polyethylene having a melt index from about 0.05 to about 5 g/10 minutes, a density from about 0.88 to about 0.94 g/cc and a molecular weight distribution (I.sub.10 /I.sub.2) from about 8 to about 30.