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Ders Adı |
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S?n?rs?z Öze?lenik Operatörler |
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Ders Kodu |
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MATL 7861 |
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Ders
İçeriği(Türkçe) |
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Kapal? ve kapanabilir operatör, diferansiyellenebilir operatörler, invaryant altuzaylar, bir kapal? operatörün spektrumu, s?n?rs?z simetrik operatör, s?n?rs?z öze?lenik operatör, s?n?rs?z akretif ve sektöriyel operatörler, s?n?rs?z normal operatör, spektral ölçümler, spektral integraller, s?n?rs?z ölçülebilir fonksiyonlar?n integralleri, s?n?rl? öze?lenik operatörler için spektral teorem, s?n?rs?z öze?lenik operatörler için spektral teorem |
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Ders İçeriği(İngilizce) |
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The closed and closable operator, differential operators, invariant subspaces, the spectrum of a closed operator, the unbounded symmetric operator, the unbounded self-adjoint operator, the unbounded accretive and sectorial operators, the unbounded normal operator, spectral measures, spectral ?ntegrals, ?ntegrals of unbounded measurable functions, the spectral theorem for bounded self-adjoint operators, the spectral theorem for unbounded self-adjoint theorem and their applications. |
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Ders Saati |
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Teo. Ders: |
3
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Uyg.: |
0 |
Lab.: |
0
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Ders Kredisi |
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3
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