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Open mapping theorem

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185: 23: 37: 26:(also known as the Banach–Schauder theorem), states that a surjective continuous linear transformation of a Banach space 200: 110: 40:, states that a non-constant holomorphic function on a connected open set in the complex plane is an open mapping 193: 113:
is invertible at a point is an open mapping in a neighborhood of the point. More generally, if a mapping
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incorrectly led you here, you may wish to change the link to point directly to the intended article.
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includes a list of related items that share the same name (or similar names).
211: 52: 153: 102: 48: 141: 126: 94: 184: 79:, the proof in the setting of topological groups uses the 175:
theorem shows that certain mappings between subsets of
209: 190:Index of articles associated with the same name 182: 75:-compact. Like the open mapping theorem in 24:Open mapping theorem (functional analysis) 63:onto a locally compact Hausdorff group 38:Open mapping theorem (complex analysis) 210: 13: 14: 229: 101:which states that a continuously 183: 1: 7: 87: 10: 234: 99:inverse function theorem 81:Baire category theorem 67:is an open mapping if 43:Open mapping theorem ( 55:of a locally compact 173:invariance of domain 30:onto a Banach space 17:Open mapping theorem 168:is an open mapping. 132: ⊂  77:functional analysis 218:Set index articles 45:topological groups 34:is an open mapping 194:set index article 140:is such that the 111:derivative matrix 105:function between 47:), states that a 225: 204: 187: 107:Euclidean spaces 233: 232: 228: 227: 226: 224: 223: 222: 208: 207: 206: 205: 198: 197: 191: 156:at every point 90: 12: 11: 5: 231: 221: 220: 189: 188: 181: 180: 169: 103:differentiable 97:, part of the 89: 86: 85: 84: 41: 35: 19:may refer to: 9: 6: 4: 3: 2: 230: 219: 216: 215: 213: 202: 201:internal link 195: 186: 178: 174: 170: 167: 163: 160: ∈  159: 155: 151: 147: 143: 139: 135: 131: 128: 124: 121: →  120: 117: :  116: 112: 108: 104: 100: 96: 92: 91: 82: 78: 74: 70: 66: 62: 58: 54: 50: 46: 42: 39: 36: 33: 29: 25: 22: 21: 20: 18: 176: 165: 161: 157: 149: 145: 137: 133: 129: 122: 118: 114: 72: 68: 64: 60: 53:homomorphism 31: 27: 16: 15: 144:derivative 51:continuous 154:surjective 49:surjective 179:are open. 57:Hausdorff 212:Category 142:Jacobian 127:open set 125:from an 95:calculus 88:See also 164:, then 199:If an 109:whose 59:group 192:This 152:) is 171:The 136:to 93:In 71:is 214:: 146:dF 177:R 166:F 162:U 158:x 150:x 148:( 138:R 134:R 130:U 123:R 119:U 115:F 83:. 73:σ 69:G 65:H 61:G 32:Y 28:X

Index

Open mapping theorem (functional analysis)
Open mapping theorem (complex analysis)
topological groups
surjective
homomorphism
Hausdorff
functional analysis
Baire category theorem
calculus
inverse function theorem
differentiable
Euclidean spaces
derivative matrix
open set
Jacobian
surjective
invariance of domain
Disambiguation icon
set index article
internal link
Category
Set index articles

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