A layer system, comprising: a metallic substrate having a first side, wherein the following layers are applied on the first side from the inside to the outside in the specified order: 4) a layer composed of a material selected from substoichiometric oxides and oxynitrides of titanium and zirconium or from metals, selected from among titanium, zirconium, molybdenum, platinum, and chromium or an alloy using one of these metals or of at least two of these metals, 5a) a layer composed of a nickel alloy having chromium, aluminum, vanadium, molybdenum, cobalt, iron, titanium, and/or copper as an alloying partner, or composed of a metal selected from copper, aluminum, chromium, molybdenum, tungsten, tantalum, titanium, platinum, ruthenium, rhodium, and alloys using one of these metals, or of at least two of these metals, or composed of iron, steel or stainless steel, 6) an optically dense, high-purity metal reflector layer, 7) a layer selected from substoichiometric oxides of titanium, zirconium, hafnium, vanadium, tantalum, niobium or chromium and from metals selected from chromium, titanium, zirconium, hafnium, vanadium, niobium, tantalum, tungsten, molybdenum, rhodium, and platinum and alloys using one of these metals or of at least two of these metals, 9) a layer having a lower refractive index ("LI layer") in relation to the directly adjoining layer 10) ("HI layer"), and 10) a layer directly adjoining layer 9) and having a higher refractive index ("HI layer") in relation to the layer 9) ("LI layer"). a metallic substrate having a first side, wherein the following layers are applied on the first side from the inside to the outside in the specified order: 4) a layer composed of a material selected from substoichiometric oxides and oxynitrides of titanium and zirconium or from metals, selected from among titanium, zirconium, molybdenum, platinum, and chromium or an alloy using one of these metals or of at least two of these metals, 5a) a layer composed of a nickel alloy having chromium, aluminum, vanadium, molybdenum, cobalt, iron, titanium, and/or copper as an alloying partner, or composed of a metal selected from copper, aluminum, chromium, molybdenum, tungsten, tantalum, titanium, platinum, ruthenium, rhodium, and alloys using one of these metals, or of at least two of these metals, or composed of iron, steel or stainless steel, 6) an optically dense, high-purity metal reflector layer, 7) a layer selected from substoichiometric oxides of titanium, zirconium, hafnium, vanadium, tantalum, niobium or chromium and from metals selected from chromium, titanium, zirconium, hafnium, vanadium, niobium, tantalum, tungsten, molybdenum, rhodium, and platinum and alloys using one of these metals or of at least two of these metals, 9) a layer having a lower refractive index ("LI layer") in relation to the directly adjoining layer 10) ("HI layer"), and 10) a layer directly adjoining layer 9) and having a higher refractive index ("HI layer") in relation to the layer 9) ("LI layer"). 4) a layer composed of a material selected from substoichiometric oxides and oxynitrides of titanium and zirconium or from metals, selected from among titanium, zirconium, molybdenum, platinum, and chromium or an alloy using one of these metals or of at least two of these metals, 5a) a layer composed of a nickel alloy having chromium, aluminum, vanadium, molybdenum, cobalt, iron, titanium, and/or copper as an alloying partner, or composed of a metal selected from copper, aluminum, chromium, molybdenum, tungsten, tantalum, titanium, platinum, ruthenium, rhodium, and alloys using one of these metals, or of at least two of these metals, or composed of iron, steel or stainless steel, 6) an optically dense, high-purity metal reflector layer, 7) a layer selected from substoichiometric oxides of titanium, zirconium, hafnium, vanadium, tantalum, niobium or chromium and from metals selected from chromium, titanium, zirconium, hafnium, vanadium, niobium, tantalum, tungsten, molybdenum, rhodium, and platinum and alloys using one of these metals or of at least two of these metals, 9) a layer having a lower refractive index ("LI layer") in relation to the directly adjoining layer 10) ("HI layer"), and 10) a layer directly adjoining layer 9) and having a higher refractive index ("HI layer") in relation to the layer 9) ("LI layer").